Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.

Q: Let {Z(t),t≥0}  be a birth and death process on {0, 1, 2,3} with respective birth and death…

A: To find the steady-state probabilities P0, P1, P2, and P3, we need to solve the balance equations…

Q: b) (i) The probability distribution of the number of customers visiting a specialty store each…

A: At first we know for a valid density/distribution  function we have  ∑nP(N=n)=1   and then  For a…

Q: The decimal answers in the box were wrong but the expected value of x was correct.

A: Given that a box contains 9 cameras and that 4 of them are defective P(defective) = p = 4/9  n = 2…

Q: (a) Show that the probability of the picking exactly X defectives follows a hypergeometric…

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Q: Find the exact mean value of X using the lowest common denominator and find the exact variance of X…

A: The pdf of random variable x is given by, fx=40-x800  ; 0≤x≤40      0      ; otherwise

Q: A random variable has the PDF shown in the figure. Find the numerical value of the parameter K. Find…

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Q: The average weight of adult females is 166.3 pounds, with a standard deviation of 14 pounds and a…

A: According to the given information in this question We need to find the standardized score for…

Q: 1）Find the probability that the selected person is a Secretary, or that his or her age of retirement…

A: 50-55 56-60 61-65 Over 65 Attorney 8 42 80 30 College Professor 10 37 71 40 Secretary 21 45…

Q: A survey asked buyers whether color, size, or brand influenced their choice of cell phone. The…

A:

Q: How many different ways can a baseball manager arrange a batting order of 9 players

A: Assume a baseball team has a lineup of 9 batters. i.e. n=9

Q: If a random sample of 40 is taken from each of the following distribution find the probability for…

A: Given: sample size n = 40  x ~ B(10,0.6) x ~B(n,p) we calculated the mean and standard deviation. μ…

Q: You are to model the daytime temperature of the Mojave desert during the summer time. Temperatures…

A: Let X be the temperature during the desert day. From the given information, X follows normal…

Q: Sports The following table shows the results of a football competition.t Team Nebraska (NU) Oklahoma…

A: The given data is: Team Won Lost Nebraska (NU) 6 0 Oklahoma (OU) 5 1 Oklahoma State (OSU) 4…

Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of…

A: Suppose a random variable x, defines the number of successes.

Q: We have 500 mice and want to determine how effective a given cure for a virus. 10 mice are taken…

A: We have 500 mice and want to determine how effective a given cure for a virus. 10 mice are taken…

Q: Given X~ N(20,16), find c. P( 19 < X<23) (4 decimal place)

A: X~N(20,16) Mean(μ)=20 Variance(σ2)=16 standard deviation(σ)=16=4

Q: 4. Given that 5% of men and 0.25% of women are color-blind. A person is random selected from a group…

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Q: Find the value of the constant c. Find P(YX). Find P(Y = X).

A: The probability mass function (PMF) of random variables X and Y is pX,Y(x,y)=c(x+y)2if x∈1,2,4 and…

Q: 6. (1) Suppose that A, B, C are independent, and P(A) = 0.1, P(B) = 0.2, P(C) = 0.3, Then the…

A: Here given that A , B and C are independent events ,  p(A) = 0.1 ,so  p(A') = 1 -p(A) = 0.9 p(B) =…

Q: In our Discrete Maths class of 100 students, 40 students own a laptop, 25 students own a tablet and…

A: Let L=a student own a laptop T=a student own a tablet P(L)=40100=0.4 P(T)=25100=0.25…

Q: average weight of 4.55 grams. A researcher wonders if hummingbirds (of this same type) living in the…

A: a) Population mean μ =4.55 b) Population mean μ =115 c) Population mean μ =69

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are…

A: If you are dealt 4 cards from a shuffled deck of 52 cards. Suppose all 4 card are queen. The…

Q: (a) A random variable has px(x) = x/15 for x = 1, 2, 3, 4, 5 and 0 otherwise. Find the mean and…

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Q: The sum of the product of each value of a discrete random variable and its probability is referred…

A: Variance: That is, it is obtained taking the square root of the sum of the squares of the…

Q: A test has 20 multiple choice questions with three options of answer. There is ONE(1) correct…

A: Let random variable X be the number of correct answers. X has binomial distribution with parameters…

Q: probability that they average: less than 17 hours per week on homework less than 14 hours per week…

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Q: For each of the statements that follow, determine whether it is true (meaning, always true) or false…

A: We are given few statements about the discrete random variable. We have to determine whether they…

Q: Consider the joint probability distribution below.   i.What is P(A= false)? ______________ Show your…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: You have two friends: a reliable friend, and an unreliable friend. When the reliable friend says…

A: x follows Uniform0,5 and y follows Exponential15. And it is given that x and y are independent.

Q: 1. Devon is expected to receive 70% of the votes at the student council election. If there are 650…

A: Note: As per our guidelines we are supposed to answer only 1 question per post so i am solving first…

Q: Assume that when human resource managers are randomly​ selected, 56​% say job applicants should…

A: Answer:- Given, 56% say job applicants should follow up within two weeks. That is, Probability of…

Q: Assume that the amount of time, in hours, that college students spend per week on homework is…

A: μ=15σ=3 n=75

Q: Given that X is a random variable having a Poisson(X) distribution, compute the following: (a) P(X =…

A: We know that, The probability mass function is,  P(X=x) = (e-λ×λx)/x!  Where,  λ &gt; 0  x = 0, 1,…

Q: There are 9+4+7+6+12+4 = 42 territories total. If you pick 3 different territories uniformly at…

A: In the board game Risk, the world map is divided into six continents, and each continent is broken…

Q: The time (in minutes) between arrivals of customers to a post office is to be modelled by the…

A: exponential distributionμ = 0.46 minute = 27.6 secondsλ = 127.6 per secondformula to use : P(x&gt;X)…

Q: 15. Shasta gets the ball over the net in volleyball 70% if the time. In 16 serves, what is the…

A: Answer  p =0.70 n =16 P[x=8] =? We know that Binomial distribution: P [X=x] =nCx*[p]^x*[1-p] ^[n-x]

Q: A city council consists of seven Democrats and seven republicans. If a committee of five people is…

A: A city council consists of seven Democrats and seven republicans.  and   If a committee of five…

Q: The average number of liters of fresh milk that a person consumes in a month is 20 liters. Assume…

A: Mean μ=20 Standard deviation σ=4.5 The distribution of number of liters of fresh milk a person…

Q: Find the area above 65 for a normal distribution with mean 61 and standard deviation 10? Round to…

A: Answer:- Given, Mean, µ = 61 Standard deviation, σ = 10  Using formula,  Z-score = (X-µ)/σ ; Where X…

Q: The following are the number of cars sold per day at ABC Motor corporation during the past 500…

A: Using formula for probability is :- probability, P(X)= frequency total frequency And ,     Mean =…

Q: Let x determine a random variable, and use your knowledge of probability to prepare a probability…

A: The random variable X is the number of boys recorded There is an equal chance of a boy or girl for…

Q: What is the probability that a randomly selected group of 10 individuals, each independently having…

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Q: There are thirteen (13) teams participating in a general knowledge competition. What is the…

A: Total teams participating in competition=13

Q: James believes the honor roll students at his school have an unfair advantage in being assigned to…

A: James asked 500 students at his school the following questions: "Are you on the honor roll?" and…

Q: Using the clues given below, fill in the rest of the joint distribution. There is only one answer: Y…

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Q: You are dealt one card from a standard 52 card deck . Find the probability of being dealt the two of…

A: A card is dealt from a standard deck of 52 (= n) cards.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 11.6…

A: Answer: From the given data, Mean (μ) = 11.6 Standard deviation (σ) = 0.8 X follows normal…

Q: Potential customers arrive at a small machine maintenance facility according to a Poisson process…

A: We want to find the probability that a customer is turned away, which occurs when all four machines…

Q: A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stop, what is the…

A: Here given that bus at bus stop every 45 minutes .  Here we use exponential distribution ,  p(T ≤ t)…

Q: An ice cream parlor offers 28 different flavors of ice cream. One of its items is a bowl consisting…

A: The ice cream parlor offers 28 different flavors of ice cream.