Skip to main content
close
Homework Help is Here – Start Your Trial Now!
arrow_forward
Literature guides
Concept explainers
Writing guide
Popular textbooks
Popular high school textbooks
Popular Q&A
Business
Accounting
Business Law
Economics
Finance
Leadership
Management
Marketing
Operations Management
Engineering
AI and Machine Learning
Bioengineering
Chemical Engineering
Civil Engineering
Computer Engineering
Computer Science
Cybersecurity
Data Structures and Algorithms
Electrical Engineering
Mechanical Engineering
Language
Spanish
Math
Advanced Math
Algebra
Calculus
Geometry
Probability
Statistics
Trigonometry
Science
Advanced Physics
Anatomy and Physiology
Biochemistry
Biology
Chemistry
Earth Science
Health & Nutrition
Health Science
Nursing
Physics
Social Science
Anthropology
Geography
History
Political Science
Psychology
Sociology
learn
writing tools
expand_more
plus
study resources
expand_more
Log In
Sign Up
expand_more
menu
SEARCH
Homework help starts here!
ASK AN EXPERT
ASK
Math
Probability
Discrete probability distribution: What does a probability distribution demonstrate/ represent?
Discrete probability distribution: What does a probability distribution demonstrate/ represent?
BUY
A First Course in Probability (10th Edition)
10th Edition
ISBN:
9780134753119
Author: Sheldon Ross
Publisher:
PEARSON
expand_less
1 Combinatorial Analysis
2 Axioms Of Probability
3 Conditional Probability And Independence
4 Random Variables
5 Continuous Random Variables
6 Jointly Distributed Random Variables
7 Properties Of Expectation
8 Limit Theorems
9 Additional Topics In Probability
10 Simulation
expand_more
Chapter Questions
expand_more
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Problem 1.2P: How many outcome sequences are possible ten a die is rolled four times, where we say, for instance,...
Problem 1.3P: Twenty workers are to be assigned to 20 different jobs, one to each job. How many different...
Problem 1.4P: John, Jim, Jay, and Jack have formed a band consisting of 4 instruments if each of the boys can play...
Problem 1.5P: For years, telephone area codes in the United States and Canada consisted of a sequence of three...
Problem 1.6P: A well-known nursery rhyme starts as follows: As I was going to St. Ives I met a man with 7 wives....
Problem 1.7P: a. In how many ways can 3 boys and 3 girls sit in a row? b. In how many ways can 3 boys and 3 girls...
Problem 1.8P: When all letters are used, how many different letter arrangements can be made from the letters a....
Problem 1.9P: A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue. If the child puts...
Problem 1.10P: In how many ways can 8 people be seated in a row if a. there are no restrictions on the seating...
Problem 1.11P: In how many ways can 3 novels. 2 mathematics books, and 1 chemistry book be arranged on a bookshelf...
Problem 1.12P: How many 3 digit numbers zyz, with x, y, z all ranging from 0 to9 have at least 2 of their digits...
Problem 1.13P: How many different letter permutations, of any length, can be made using the letters M 0 T T 0. (For...
Problem 1.14P: Five separate awards (best scholarship, best leadership qualities, and so on) are to be presented to...
Problem 1.15P: Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take...
Problem 1.16P: How many 5-card poker hands are there?
Problem 1.17P: A dance class consists of 22 students, of which 10 are women and 12 are men. If 5 men and 5 women...
Problem 1.18P: A student has to sell 2 books from a collection of 6 math, 7 science, and 4 economics books. How...
Problem 1.19P: Seven different gifts are to be distributed among 10 children. How many distinct results are...
Problem 1.20P: A committee of 7, consisting of 2 Republicans, 2 Democrats, and 3 Independents, is to be chosen from...
Problem 1.21P: From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How...
Problem 1.22P: A person has 8 friends, of whom S will be invited to a party. a. How many choices are there if 2 of...
Problem 1.23P: Consider the grid of points shown at the top of the next column. Suppose that, starting at the point...
Problem 1.24P: In Problem 23, how many different paths are there from A to B that go through the point circled in...
Problem 1.25P: A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room. If 3...
Problem 1.26P: Show k=0n(nk)2k=3n Simplify k=0n(nk)xk
Problem 1.27P: Expand (3x2+y)5.
Problem 1.28P: The game of bridge is played by 4 players, each of w1om is dealt 13 cards. How many bridge deals are...
Problem 1.29P: Expand (x1+2x2+3x3)4.
Problem 1.30P: If 12 people are to be divided into 3 committees of respective sizes 3, 4, and 5, how many divisions...
Problem 1.31P: If 8 new teachers are to be divided among 4 schools, how many divisions are possible? What if each...
Problem 1.32P: Ten weight lifters are competing in a team weight-lifting contest. Of the lifters, 3 are from the...
Problem 1.33P: Delegates from 10 countries, including Russia, France, England, and the United States, are to be...
Problem 1.34P: If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? How...
Problem 1.35P: An elevator starts at the basement with 8 people (not including the elevator operator) and...
Problem 1.36P: We have 520.000 that must be invested among 4 possible opportunities. Each investment must be...
Problem 1.37P: Suppose that 10 fish are caught at a lake that contains 5 distinct types of fish. a. How many...
Problem 1.1TE: Prove the generalized version of the basic counting principle.
Problem 1.2TE: Two experiments are to be performed. The first can result in any one of m possible outcomes. If the...
Problem 1.3TE: In how many ways can r objects be selected from a set of n objects if the order of selection is...
Problem 1.4TE: There are (nr) different linear arrangements of n balls of which r are black and nr are white. Give...
Problem 1.5TE: Determine the number of vectors (x1,...,xn), such that each x1 is either 0 or 1 andi=1nxiK
Problem 1.6TE: How many vectors x1,...,xk are there for which each xi is a positive integer such that1xin and...
Problem 1.7TE: Give an analytic proof of Equation (4.1).
Problem 1.8TE: Prove that (n+mr)=(n0)(mr)+(n1)(mr1)+...+(nr)(m0) Hint: Consider a group of n men and m women. How...
Problem 1.9TE: Use Theoretical Exercise 8 I to prove that (2nn)=k=0n(nk)2
Problem 1.10TE: From a group of n people, suppose that we want to choose a committee of k,kn, one of whom is to be...
Problem 1.11TE: The following identity is known as Fermats combinatorial identity:(nk)=i=kn(i1k1)nk Give a...
Problem 1.12TE: Consider the following combinatorial identity: k=0nk(nk)=n2n1 a. Present a combinatorial argument...
Problem 1.13TE: Show that, for n0 ,i=0n(1)i(ni)=0 Hint: Use the binomial theorem.
Problem 1.14TE: From a set of n people, a committee of size j is to be chosen, and from this committee, a...
Problem 1.15TE: Let Hn(n) be the number of vectors x1,...,xk for which each xi is a positive integer satisfying 1xin...
Problem 1.16TE: Consider a tournament of n contestants in which the outcome is an ordering of these contestants,...
Problem 1.17TE: Present a combinatorial explanation of why (nr)=(nr,nr)
Problem 1.18TE: Argue that(nn1,n2,...,nr)=(n1n11,n2,...,nr)+(nn1,n21,...,nr)+...+(nn1,n2,...,nr1) Hint: Use an...
Problem 1.19TE: Prove the multinomial theorem.
Problem 1.20TE: In how many ways can n identical balls be distributed into r urns so that the ith urn contains at...
Problem 1.21TE: Argue that there are exactly (rk)(n1nr+k) solutions of x1+x2+...+xr=n for which exactly k of the xi...
Problem 1.22TE
Problem 1.23TE: Determine the number of vectors (xi,...,xn) such that each xi, is a nonnegative integer and i=1nxik.
Problem 1.1STPE: How many different linear arrangements are there of the letters A, B, C, D, E, F for which a. A and...
Problem 1.2STPE: If 4 Americans, 3 French people, and 3 British people are to be seated in a row, how many seating...
Problem 1.3STPE: A president. treasurer, and secretary. all different, are to be chosen from a club onsisting of 10...
Problem 1.4STPE: A student is to answer 7 out of 10 questions in an examination. How many choices has she? How many...
Problem 1.5STPE: In how many ways can a man divide 7 gifts among his 3 children if the eldest is to receive 3 gifts...
Problem 1.6STPE: How many different 7-place license plates are possible mien 3 of the entries are letters and 4 are...
Problem 1.7STPE: Give a combinatorial explanation of the identity(nr)=(nnr)
Problem 1.8STPE: Consider n-digit numbers where each digit is one of the 10 integers 0,1, ... ,9. How many such...
Problem 1.9STPE: Consider three classes, each consisting of n students. From this group of 3n students, a group of 3...
Problem 1.10STPE: How many 5-digit numbers can be formed from the integers 1,2,... ,9 if no digit can appear more than...
Problem 1.11STPE: From 10 married couples, we want to select a group of 6 people that is not allowed to contain a...
Problem 1.12STPE: A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If the...
Problem 1.13STPE: An art collection on auction consisted of 4 Dalis, 5 van Goghs. and 6 Picassos, At the auction were...
Problem 1.14STPE
Problem 1.15STPE: A total of n students are enrolled in a review course for the actuarial examination in probability....
Problem 1.16STPE
Problem 1.17STPE: Give an analytic verification of (n2)=(k2)+k(nk)+(n+k2),1kn. Now, give a combinatorial argument for...
Problem 1.18STPE: In a certain community, there are 3 families consisting of a single parent and 1 child, 3 families...
Problem 1.19STPE: If there are no restrictions on where the digits and letters are placed, how many 8-place license...
Problem 1.20STPE: Verify the identityx1+...+xr=n,xi0n!x1!x2!...xr!=rn a. by a combinatorial argument that first notes...
Problem 1.21STPE: Simplify n(n2)+(n3)...+(1)n+1(nn)
format_list_bulleted
See similar textbooks
Related questions
Q: In January 2003, the American worker spent an average of 77 hours logged on to the internet while at…
A:
Q: Topic Binomial and Poisson probability distribution Show development for the solution Suppose an…
A:
Q: A) Game of Craps In a game of craps using two dice, a "Don't Pass" bettor wins even money if the…
A: Given data We had given data and we have to find probability
Q: Discrete Probability Distribution There is a 50-50 chance that the queen carries the gene of…
A:
Q: distributions of a random variable which can take on only values 1,2,3 and 4 f(1)=0.19, f(2)=0.27,…
A: Solution
Q: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of…
A: On-time:P=0.801-P =0.20_________________________________late:P =0.201-P =0.80
Q: The data represent the age of world leaders on their day of inauguration. Find the five-umber…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: It is estimated that 1 in 59 students in Canada have been diagnose Austism Spectrum Disorder. In a…
A: It is given that, 1 in 59 students in Canada has been diagnosed with Autism Spectrum Disorder. i.e.…
Q: what is the probability that all three are defective? (b) If four items arrive in succession, what…
A: It is given that P( defective ) = p = 20% = 0.20 Here, we have parameter p = 0.20 and n ( different…
Q: A probability found by actually performing the experiment is called an __________ probability.
A:
Q: table to the right summarizes the age distribution for a company's employees. Each probability is…
A: Age (Years) Probability 20 - 340.2520 -490.620- 64 0.720 - 79 1
Q: Fast answer please
A: Step 1: Given the information.We check if the sum of the probabilities is 1, because in a…
Q: Conditional Probability A study has been done to determine whether QLnet a certain drug leads to…
A:
Q: b) What is the probability that 2, unfair, six-sided dice have a sum of at least 10? Let the…
A: Given : two sided dice are rolled Ω = 1,1, 1,2, 1,3,..., 1,6, 2,1, 2,2, 2,3,..., 2,6, 6,1, 6,2,…
Q: Goodness of fit test is a multinomial probability distribution. What aspects of the test satisfy the…
A:
Q: Car security alarms go off at a mean rate of 3.8 per hour in a large Costco parking lot. Find the…
A: Let us define the random variable Y as the of number of car security alarms go off with average…
Q: The data given below show the number of overtime hours worked in one week per employee. Use the data…
A:
Q: Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes.…
A: Assume, X denotes the random variable representing the number of users who use their phones in…
Q: Rolling a single die 34 times, keeping track of the number of 3s that are rolled. will this result…
A: Binomial distribution: The characteristics of binomial distribution are given below: The number of…
Q: d. Find the probability that between 20 and 25 households, inclusive, still have a landline. The…
A: Given: p = 0.48 n = 60
Q: The probability distribution of a random variable X is given by: x 12 3 4 P(X) k 2k 3k | 4k (a) Find…
A:
Q: Below is a probability model. Outcome 1.5 1.5 4 6 Probability 0.3 0.2 0.15 0.35 Find the expected…
A: xP(x)1.50.31.50.240.1560.35Calculate expected value of probability model.
Q: Use the probability distribution to complete parts (a) and (b) below. Activities Probability 0…
A: Given: Activities Probability 0 0.061 1 0.124 2 0.166 3 0.167 4 0.203 5 0.119 6…
Q: A wallet contained six 2-euro coins and three 1-euro coins. Four coins accidentally fell out of the…
A: The amount of lost money can take on the values of 0, 2, 4, 6, or 8 euros, depending on which coins…
Q: True or False? The normal distribution model is an important probability distribution model that is…
A:
Q: Find the expected value for the random variable whose probability function graph is displayed here.…
A: From the provided information, The probability distribution table can be constructed as: x 1…
Q: Car security alarms go off at a mean rate of 2.7 per hour in a large Costco parking lot. Find the…
A: Poisson distribution:The random variable X denotes the number of times alarms go off per hour. The…
Q: Discrete distributions A GIS firm is investigating the safety of a dangerous road stretch in the…
A: We have given that X~P( lambda) Average = = lambda= 6
Q: The daily earning of an employee working on a commission basis is represented by the random variable…
A: The expected value of a discrete random variable with probability distribution PX=x is given by,…
Q: Statistical Literacy Consider each distribution. Determine if it is a valid probability distribution…
A: Probability distribution properties : 1) Probability lies between 0 and 1 2) Sum of all…
Q: Poisson Probability Distribution The random variable x represents the number of phone calls the…
A: Given:X: The number of phone calls the author receives in a day.X follows Poisson distribution.Mean…
Question
Discrete
probability
distribution: What does a probability distribution demonstrate/ represent?
Video Video
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
See solution
Check out a sample Q&A here
Step 1
VIEW
Step 2
VIEW
Step by step
Solved in 2 steps
See solution
Check out a sample Q&A here
Knowledge Booster
Similar questions
arrow_back_ios
arrow_forward_ios
Probability homework
arrow_forward
Number 15 please
arrow_forward
Listen Students must show all the work to get full credit. Messages arrive at an electronic message center at random times, with an average of 8 messages per hour. (a)What is the probability of receiving at least 5 messages during the next hour? (b) What is the probability of receiving exactly 4 messages during the next hour?
arrow_forward
Scratch Off Lottery Tickets Your friend Phil, asks you what you think about a new scratch-off lottery game. It costs $10 to play this game, There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in $15, for a net win of $5 ($15 minus the $10 paid to play). The probability distribution for x (the amount of money a player wins or loses) in a single game is as follows: Fi x > Net Money Won or Lost P(x) → Probability Win 0.60 Lose 24 0.40 Using the information in the table, complete the following 1. Interpret the table. There is a chance of winning and a chance of losing 2. What is the expected value of x? E(x) = 3. What is the standard deviation? o = (Round to then nearest hundredth). Question Source: Illustrative Mathematics https://www.illustrativemathematics.org/content- standards/HSS/MD/A/2/tasks/1217 Check
arrow_forward
Need help with this probability homework Thanks in advance
arrow_forward
Actuarial Mathematicsss
arrow_forward
(Urn distribution) A population of 100,000 people consists of 40% men and 60% women. A random sample of size 100 is drawn from this population without replacement. Derive expression for the probability that there are at least 45 men in the sample. Approximately, what is the value of the probability?
arrow_forward
How do I find the expected value and standard deviation
arrow_forward
The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b). Overtime hours Employees 0 5 X P(x) 0 1 14 1 2 34 (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. (a) Construct the probability distribution by completing the table below. 2 3 54 3 4 42 4 5 28 5 (Round to three decimal places as needed.) 6 17 6
arrow_forward
Binomial Distribution: In a recent survey, we found that 30% ofcollege students commute. Suppose we have a sample of seven students(a) What is the probability that exactly three students commute?(b) What is the probability that at least two students commute?
arrow_forward
GED: In a certain high school, the probability that a student drops out is 0.05, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.19. What is the probability that a randomly selected student gets a GED? Round your answer to four decimal places, if necessary. The probability that the randomly selected student gets a GED is......
arrow_forward
Discrete probability distribution  There is a group of 10 women and 8 men in a small business company. A subgroup of 5 people is to be selected. What is the probability distribution of number of women in the subgroup? Show all calculations.
arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS
