Answered: (1) What is the probability that…

(1) What is the probability that exactly 6 of the characters are digits? (2) What is the expected number of digits in a sequence? (3) What is the variance of the number of digits in a sequence?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Q 1: Let K be the last number of your registration number. Then, in a high schoc graduating class of…

A: Given: K be the last number of registration number . N=Number of students=100 A=Number of student…

Q: A law firm has nine senior and four junior partners. A committee of three partners is selected at…

A: Here given,Law firm has 9 senior and 4 junior partners.Total partners = 9+4Total partners =13Sample…

Q: (a) The probability of randomly selecting a red suit or a 6 is (Type an integer or decimal rounded…

A: There are 52 cards in the deck divided into two colour i.e red (26) and black (26). These black…

Q: DESA secretariat receives, on average, 3 calls per hour on its general office number from members…

Q: A group of 165 doctors and nurses volunteered to run a health fair. Each volunteer worked one shift.…

Q: An experiment consists of randomly selecting a string of 5 (not necessarily different) letters from…

A: There is total 26 letters and it is needed to a string of 5, which are not necessarily different.

Q: Find the probability of drawing 3 aces at random from a deck of 52 ordinary cards if the cards are…

A: Given information is Total Number of cards in a deck = 52 No of Ace cards in a deck = 4 Now we…

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: It is given that, Number of students who studied Mathematics =54 Number of student who Studied…

Q: Find the probability that in tossing a fair coin five times, there will appear, 3 heads (ii) 3 tails…

Q: 13) School 1 claims that it is a much better school than School 2. As the reason, School 1 refers to…

A: Value claims are argumentive statements concerning pros and cons on something that is subjective to…

Q: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10. (a) What is the…

A: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.

Q: In a big cooler in the kitchen there are the following drinks: 15 bottles of soda, 4 cans of soda, 9…

A: In a big cooler in the kitchen there are the following drinks: 15 bottles of soda, 4 cans of soda, 9…

Q: Copykwik has four photocopy machines: A, B, C and D. The probability that a given machine will break…

A: Copykwik has four photocopy machines: A, B, C and D.given; probability that a given machine will…

Q: An integer is chosen at random from the first 100 positive integers. Find the probability that the…

A: We have to find given probability...

Q: math class consists of 25 students, 14 female and 11 male. Three students are selected at random to…

A: Given: No of female students=14 No of male student=11 Total number of students=25 Compute the…

Q: The school collects 15 scripts from the Probability exam and 10 scripts from the Linear Algebra…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A box has 13 candies in it: 5 are caramel, 4 are peppermint, and 4 are taffy. Tony wants to select…

Q: 803) Find the probability of obtaining (a) a 2, (b) any number, and (c) any number except 2 and 5…

A: (a) When a die is rolled there are 6 possible outcomes. That is, 1,2,3,4,5,6. The probability of…

Q: If a coin has a probability of 0.05 that it will come up "Heads" on a single flip, What is the…

A: Here, and .

Q: For a certain style of new automobile, the colors blue, white, black, green and red are in equal…

A: Correct Option is b

Q: A group of 126 doctors and nurses volunteered to run a health fair. Each volunteer worked one shift.…

Q: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the…

Q: There are 10 mistakes on the "Probability" slides of Discrete Mathemetics. If the number of slides…

A: Given: There are 10 mistakes on the "Probability" slides of Discrete Mathematics. n=50

Q: One ticket is drawn at random from a bag containing 30 tickets numbered from 1 to 30. Find the…

Q: At its simplest, probability can be defined as The number of favorable outcomes divided by the…

A: Probability is defined as the number of favorable outcomes divided by the number of total outcomes.…

Q: What is the probability of rolling a fair six-sided die three times and getting a three on the first…

Q: (iv) Find probability of 5- digit odd number code from 0, 2, 3, 5, 6, 7, 9. (v) Find probability of…

A: Note:i)To obtain a five-digit number, the first number can even be 0. Thus, there are 6 ways to get…

Q: Based on a poll, 60% of adults believe in reincarnation. Assume that 7 adults are randomly selected,…

A: Answers are (a) binompdf(7,0.6,6) = 0.131 (b) binompdf(7,0.6,7) = 0.028 (c)…

Q: (1) (11) Show all the possible outcomes with a tree diagram. Find the probability that two heads and…

A: Here given three coins are Thown And take head = H tail = T P(H) = 1/3 P(T) = 2/ 3

Q: In a survey of 1461 people, 976 people said they voted in a recent presidential election. Voting…

A: Given Information: Sample size n=1461 Out of which x=976 people said they voted in a recent…

Q: Outside a home, there is a 9-key keypad numbered 1 through 9. The correct four-digit code will open…

Q: Age Age Gender Under 40 40 or Older Total Male 12 2 14 Female 8 3 11 Total 20 5 25 The table…

A: Given data: Total people=25 Male=14 Female=11 Under 40=20 40 or Older=5

Question

The exam will consist of a 10-character sequence which students will have to write in stats class. They will have a machine select each character of the sequence independently and uniformly at random from {a, b, . . . , z}∪{A, B, . . . , Z}∪{0, 1, . . . , 9} right before the exam:

(1) What is the probability that exactly 6 of the characters are digits?

(2) What is the expected number of digits in a sequence?

(3) What is the variance of the number of digits in a sequence?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: we define the given information then will calculate the one by one

VIEW

Step 2: we will calculate the expected and variance of the number of digits in a sequence

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 23 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

10 persons in a room are wearing badges marked I through 10. 3 persons are chosen at random and asked to leave the room simultaneously and their badge nos are noted. Find the probability that (a) the smallest badge number is 5. (b) the largest badge number is 5.
A card is selected at random from a standard deck of 52 playing cards. Find the probability of each event. (a) Randomly selecting a diamond or a 6 (b) Randomly selecting a black suit or a queen (c) Randomly selecting an 8 or a face card (a) The probability of randomly selecting a diamond or a 6 is (Type an integer or decimal rounded to three decimal places as needed.) (b) The probability of randomly selecting a black suit or a queen is (Type an integer or decimal rounded to three decimal places as needed.) (c) The probability of randomly selecting an 8 or a face card is. (Type an integer or decimal rounded to three decimal places as needed.)
In a B. Com. class 5% of the students are mischievous. Form a sample of dents caught at random find the probability that (i) none of them is tnievous, (ii) exactly two of them are mischievous and (iii) at least one of them is mischievous. 3 students caught at random find the probability that (i) none of them is CS Scanned with CamScanner
The two last subparts please (d and e)
You randomly select an integer from 0 to 7 (inclusively) and then randomly select an integer from 0 to 9 (inclusively). What is the probability of selecting a 3 both times?
A box contains N coins, m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?
You randomly select an integer from 0 to 24 inclusively and then randomly select an integer from 0 to 49 inclusively, what is the probability of selecting a 10 both times?
Outside a home, there is a 6-key keypad numbered 1 through 6. The correct five-digit code will open the garage door. The numbers can be repeated in the code. (a) How many codes are possible? (b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code? (a) The number of possible codes is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct code is given on the first try, assuming that the owner doesn't remember it is (Type an integer or fraction. Simplify your answer.) Statcrunch
Q6- The average number of typographical errors on a page of a certain magazine is 0.02. What is the probability that the next 50 pages you read contains a) At most 3 errors b) exactly 3 errors?
Suppose that in a certain large population, the proportion of people that have blood type O is 0.33. If 7 people are randomly and independently selected from this population, what is the probability that no more than one has blood type O? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer:
In a New York State daily lottery game, a sequence of four digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that three of the four digits are the same.
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that three females are selected. Probability of first student being a female = (as a fraction) Probability of second student being a female = (as a fraction) Probability of third student being a female = (as a fraction) Probability that three females are selected = (as a decimal rounded to the nearest thousandth)