2. If you roll a six-sided die 100 times, what is the probability that you roll exactly 16 2s and exactly 12 3s? If you draw 2 cards from a 52 card deck, what is the probability that they are both hearts?

Q: The following table shows U.S. employment figures for 2014, broken down by educational attainment.…

A: The education attainment is distribution by the above table.

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A:

Q: A radio station runs a promotion at an auto show with a money box with 15 $25 tickets, 11 $5…

A:

Q: For standard normal distribution find area to the right of 1.5

A: P(Z>1.5)=?

Q: Drafa is a fictional recessive disease corresponding to genotype dd Two parents show no symptoms so…

A: Given that : Two parents either DD or Dd P(A)=9/10,P(B)=1/16,P(C)=3/80

Q: In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors…

A: GivenThe number of packets purchased =6The probability that a particular Vice-chancellor being in a…

Q: A population of values has a normal distribution with μ = 47.4 and o = 41.4. A random sample of size…

A: Given Mean=47.4 Standard deviation=41.4 n=189

Q: 22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A…

A:

Q: . A traditional fair die is thrown twice. What is the probability that: a) a six turns up exactly…

A: Given that  A fair die is thrown twice  Sample space = S S = {…

Q: A twelve sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Answer: From the given data, A twelve sided die with  sides labeled 1 through 12 will be rolled…

Q: 37. Let X₁,..., Xn be a random sample from the Laplace distribution (also called the double…

A: Given that X1, . . ., Xn be a random sample from the Laplace distribution with pdf fx; θ =e-x-θ…

Q: 9. Represent the following relations on A = {1, 2, 3, 4, 5, 6} using a matrix and a digraph. (a) R =…

A: Given that ,  A = { 1,2,3,4,5,6}

Q: 22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A…

A:

Q: bers {1, 3, 6, …}

A:

Q: A researcher surveyed the households in a small town. The random variable X represents the number of…

A:

Q: 2. r= -0.99 3. r = 0.4 1. r=0.9 catterplot catterplot catterplot atterplot @ (b) (d)

A: Given Match the scatterplots to the right with the correlation values. 1. r=0 2. r = -0.99 3. r=0.4…

Q: Urn A has 13 white and 4 red balls. Urn B has 9 white and 17 red balls. We flip a fair coin. If the…

A: Given Urn A has 13 white and 4 red balls. Urn B has 9 white and 17 red balls.

Q: The mean lifespan of a generic brand of incandescent light bulbs is 962 hours with a standard…

A: given data, μ=962σ=107z-zcore =?p(875<X<1198)=?

Q: The colour of a car would be considered which type of data

A: There are two types of data: Quantitative and Qualitative. Quantitative data consists of numerical…

Q: Find area to the left of z= -1.3

A: We will use Excel to find the required area under standard Normal curve.

Q: x + y The joint pdf of X and Y is fxy(x, y) = 3 0 a) Determine E[Y|x=1] b) Determine E[Y|x=0] 0<x<2,…

A: Method: find the marginal and tuen conditional pdf.

Q: QUESTION 5 An economist is studying the median yearly income of workers by their ages. 18 48 58 28…

A: To identify the mode type we create scatter plot. We represent age on x axis and Median income on Y…

Q: The heights of NBA players are normally distributed, with an average height of 6'7" (i.e. 79…

A: Introduction: Denote X as the height of a randomly selected NBA player. It is given that X has a…

Q: SUPPOSE  X  HAS A NORMAL DISTRIBUTION WITH  µ= 20  AND  σ=4. FIND P( 15 ≤ X ≤ 21

A: Given,mean(μ)=20standard deviation(σ)=4

Q: 9. Let X and Y have the joint density f (x, y) = cx(y=x)e (a) Find c. (b) Show that: fx|y (x | y) =…

A:

Q: Let X be a Markov chain containing an absorbing states with which all other states i communicate, in…

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Q: (a) What is the probability that if you draw one ball, it will be blue? (b) If you draw two balls…

A: It is given that  Red balls = 7 Blue balls = 8 Total balls = 15   Note: According to Bartleby expert…

Q: In a class of 26 students, 8 have a brother and 6 have a sister. There are 2 students who have a…

A: Given:-

Q: Suppose that X has density fx (x) = 2ª for 0 < x < 3 (and ƒx (x) and suppose that the conditional…

A: We know that, f(y)=∫y3f(y|x)f(x)dx       =∫y33y2x3×2x9dx        =∫y32y23x2dx         =2y2∫y313x2dx…

Q: Find the critical value x corresponding to a sample size of 107 and a confidence level of 99%.…

A: Followings are the Explanation of the question  ANSWER :- Confidence interval for population…

Q: The probability that a carton of eggs taken from the cooler at a store will have at least one…

A:

Q: 3. Let X be a random variable with distribution function P(X ≤x} = 0 if x ≤ 0, x * if 0 1. Let F be…

A: Given that  We have to show that Y=F1(X) is a random variable having distribution function F...

Q: Suppose that 6 female and 5 male applicants have been successfully screened for 6 positions. In how…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 3. Six cups and saucers come in pairs: there are two cups and saucers which are red, two white, and…

A: Given:-              R = red              S = stars             W = white

Q: Problem #4: Let X be a continuous random variable with probability density function S2x2 0 Problem…

A:

Q: There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: 3 Σ cxitz= i=2 N Σ (2x1) = i=1 Ẽ

A:

Q: Problem 2. A carton of 24 light bulbs includes three are defective. If two of the bulbs are chosen…

A: We have given that  A carton have 24 light bulbs  3 are defective 21 are not defective We have to…

Q: In Exercises 1–6, say how many elements are in the sample space S, list the elements of the given…

A: Note: Questions 2 and 3 are two different questions. As per the answering guidelines I have to…

Q: Consider a branching process whose family sizes have the geometric mass function f(k)= qpk, k≥ 0,…

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Q: 24. An urn contains b blue balls and r red balls. They are removed at random and not replaced. Show…

A:

Q: Show that the mean μ, median m, and variance o2 of the continuous random variable X satisfy (μ-m)²…

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Q: A traffic study has shown that the probability that 5 cars will pass over a small bridge in a…

A: given data  P(5 cars will pass over a small bridge in 4 minutes) = p = 0.16 odds agaiast exactly 5…

Q: Problem 1: A Covid-19 testing center offers daily walk-in PCR and antibody testing service.…

A: Given, that arrival rate of people at the centre is λ=5/hour and follows Poisson distribution, and…

Q: he odds in favor of Michael Jordan making a free throw were 21:4. Find the probability of Michale…

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Q: Show development for the solution Find the confidence level for the following critical values…

A: Find confidence level  Z=1.28  Z=-1.44

Q: 8. Let X, Y, Z be independent and exponential random variables with respective parameters λ, μ, V.…

A:

Q: The lifetime of a certain type of battery is normally distributed with mean value 15 hours and…

A: μ = 15 hoursσ = 1 hoursn = 9 P(∑x&gt;a) = 0.05a = ?

Q: Use the given table to find the probability of the indicated event. Round your answer to the nearest…

A: Given that  There are total 230 students We have to calculate probability of randomly selected…

Q: Specify whether the following statements are "TRUE" or "FALSE" A. When a random sample is to be…

A: Given that A. When a random sample is to be taken from a population and a statistic is to be…