Identify the problem whether a Permutation or Combination. Write the given of the problem and solve using the formula. Show your solutions. Problem: From a population of 50 households, in how many ways can a researcher select a sample with a size of 10?

Q: Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your a...

A: Given,n=8 , x=5  ,  p=0.25A random variable X~Binomial(n=8, p=0.25)P(X=x)=8x0.25x1-0.258-x  ;   x=0,...

Q: Health officials from DOH who have studied a particular virus say that 50% of all the Filipino peopl...

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Q: Find the probability of getting a sum of 6 on two dice if the first die is already shows a 3.

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations o...

Q: We need to form a Nobel Prize committee consisting of 5 women and 6 man out of 10 women and 12 men. ...

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Q: F(x) Let X be a continuous random variable with cdf F(x). Show that E(I(X < r)) where I is the indic...

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Q: An investor owns shares in a stock whose present value is 20. She has decided that she must sell her...

A: A set of events are said to be independent if the probability of occurrence of any one of them is no...

Q: 3 Challenging problems Some probability problems do not involve geometry directly, but can be solved...

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Q: a) Construct the appropriate decision tree to help the farmer make the appropriate decisions. This...

A: Solution:

Q: 6. Suppose you walk a hiking trail at a speed which is uniformly distributed from 4 to 6 miles per h...

A: The pdf of the duration of the trip

Q: ꜱᴜᴘᴘᴏꜱᴇ ᴛʜᴀᴛ ʏᴏᴜ ᴛᴏꜱꜱ ᴛʜʀᴇᴇ ꜰᴀɪʀ ᴄᴏɪɴꜱ. ʏᴏᴜ ɢᴇᴛ ᴀ ꜱᴄᴏʀᴇ ᴏꜰ ₁ ꜰᴏʀ ᴇᴀᴄʜ ᴄᴏɪɴ ᴛʜᴀᴛ ꜱʜᴏᴡꜱ ᴛᴀɪʟꜱ ᴀɴᴅ –₁ ꜰ...

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Q: My friends owns 21 tapes. I want to help her randomly arrange 10 of them in a tape rack. What is the...

A: Given data my friend owns 21 tapes. I want to help her randomly by arranging 10 of them in tape rack...

Q: Let A, B, C, D and E be discrete random variable such that A is Binomial random variable with parame...

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Q: Solve for the probability of each event. Write your answers as a reduced fraction. In one section o...

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Q: 18. In a finance class, the final grade is based on three tests. Historically, the instructor tells ...

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Q: Describe data in terms of variability, association, and relative standing.

A: Terms with example Variability Association Relative standing

Q: Suppose that in a day, the probability of a car agents' not closing any deal is 0.35. On the other h...

A: Consider, X be the random variable that shows the number of deals that are closed. Using the given i...

Q: Connectives and Compound Statements Write the compound statement in symbolic form. p: 32 = 9 q: A ...

A: Given details below are : p: 32 = 9 q: A rectangle does not have 4 sides. r: Paolo is a President.

Q: A die is tossed only once. What is the probability that either a number less than 5 or an even numbe...

A: Obtain the probability that either a number less than 5 or an even number occurs on the die. The pro...

Q: * P(V(x) <x S E (x)) .

A: Here given x has binomial distribution  With n = 4  P = 1/2

Q: A toll bridge charges $1.00 for passenger cars and $2.75 for other vehicles. Suppose that during day...

A: Given that the , A toll bridge charges $1.00 for passenger cars and $2.75 for other vehicles. 65% of...

Q: Determine if the events described in each of the given problems below are Mutually Exclusive Events ...

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Q: 13. A supplier delivers an order for 30 electric toothbrushes to a store. By accident, three of the ...

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Q: A purchasing office is to assign a contract for computer paper and a contractor for microcomputer di...

A: Given that, There are three firms a purchasing office can assign a contract for computer paper and a...

Q: The table below shows the probability distribution of student ages in a high school with 1500 studen...

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Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all...

A: Given that  Men hip breadths are normally distributed. Mean (μ) = 14.9 in Standard deviation (σ) = 0...

Q: Twe dice are rolled once. What is the probability of getting a total of 7 or 11

A: The total possible outcomes in rolling two dice are {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2)...

Q: Question 4 Fifty adults were surveyed about which activity (yoga, cycling, walking) they like to do ...

A: We have given that 50 adults were surveyed about which activity (yoga, cycling, walking) they like t...

Q: Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year, If the av...

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Q: Two dice are rolled. Find the probability of getting the following. a. A sum of 6 or 7 or 8 b. A su...

A: *Given two dice are rolled  Find probability  of getting the following..

Q: In ENJOY hotel, there are a total of 200 rooms. 160 rooms are ordinary-sized, and the rest are suite...

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Q: uppose Z follows the standard normal distribution. Use the calculator provided, or this table, to de...

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Q: its number is found divisible by 3. What is the probability that its number is also divisible by 5?

A: Here use basic probability  and Bayes rule

Q: Suppose heights of female (cm) is normally distributed as N(µ = 165, o² = 7.52) where the mean µ = 1...

A: Given Information: Mean μ=165 Variance σ2=7.52 Standard deviation σ=7.5 (a) To determine the proport...

Q: QUESTION 6 Suppose that total cholesterol in US men aged 35-44 can be modeled by a normal distributi...

A: GivenMean(μ)=205standard deviation(σ)=37.8

Q: Three card are drawn at random from a full pack of cards. Find the probability that the three cards ...

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Q: The probability of a customer arrival at a grocery service counter in any one second is equal to 0.4...

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Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tick...

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Q: 3. In a job fair, 3 000 applicants applied for a job. Their mean age was found to be 28 with a stand...

A: ( 3 ) Given mean = 28 ,s.d =4 ,n =3000 Find the given problems

Q: Rica is either the winner or the runner-up?

A: Here use basic probability 

Q: Find probability that the box was chosen given that the marble is green.

A: Let us define some events A : the urn is chosen. B : the box is chosen. E : the marble is green. The...

Q: 1. What is the probability that all three desks will be maple? P(Maple and Maple and Maple). 2. What...

A: A company has accepted a shipment of 80 new desks: 60 are made of maple and 20 are made of oak. The ...

Q: 20. Which of the following data show most likely the smallest possible variance or variability? A. t...

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Q: Answer the following The image on the left shows the standard normal distribution curve (with u=0 an...

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Q: Find (A u B) o B'.

A: Here use basic of venn diagram 

Q: An investor owns shares in a stock whose present value is 20. She has decided that she must sell her...

A: A group of events are said to be independent if the probability of occurrence of any one of them is ...

Q: now using MGF technique that if Z, ~ N(0,1), for i=1,2,3,4,5, then U = Ez ~ x² with degrees of freed...

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Q: The number of ways to distribute 9 toys to 4 children is that: The youngest child receives 3 toys an...

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Q: e. P(a number greater than 0) = f. P(10) = g. a 5 or a 2 h. NOT a 2 or a 3 1. a 9 J. a negative numb...

A: As per our guidelines we are suppose to answer three sub parts. if two dice are rolled than the poss...

Q: Let Y denote a random variable that has a Poisson distribution with mean 2 = 4. (Round your answers ...

A: We have given that,  Let Y be the random from Poisson distribution with λ = 4 Then,      Note:- Acco...

Q: Assume that females have pulse rates that are normally distributed with a mean of u =76.0 beats per ...

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively. T...