1. Let joint PMF of X,Y is as follows X Y 1 2 What condition should a and ß satisfy? 1 1/6 1/3 2 1/9 a 3 1/18 B

Q: Let X = the outcome when a fair die is rolled once. Suppose that, before the die is rolled, you are…

A: To determine which option to prefer, we need to compare the expected values of each option. The…

Q: /variants/1017353/take/17/ You have 7 red marbles and 6 blue marbles in a bag. You randomly take a…

A: Answer:- Given, Number of red marbles, n(Red) = 7  Number of blue marbles, n(Blue) = 6  So, Total…

Q: 2. Suppose that the mean of the population X is known, the variance ² is unknown, and X₁, X₂, X, is…

A: A statistic is a function of sample data, and it is used to estimate population parameters.

Q: Consider the following directed graph of the relation R on the set A={a, b, c, d}. Tl a) symmetric…

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Q: TITS inside a cube so that it touches below. If a point is chosen at random inside probability that…

A: We can calculate the probability that the point lies inside the sphere by taking the ratio (say, r)…

Q: Assume below les have pulse rates of 760 beats per minute and af 1 adult female is randomly…

A: a) Suppose the random variable x defines the pulse rate of females.

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

A: i) 0.22 ii) 0.33 iii) 0.75 iv) 0.60 Explanation: i) The chance that both operators are not busy can…

Q: Bayes' Theorem - detecting a virus from test results. help_outline   (a) Assume one person out of…

A:

Q: From 1981 to 2011, the number � of federally insured banks could be approximated by…

A: Consider the given equation: Bt=-328.6t+13705 Where t is the year.

Q: Question 8 Pauli is playing a board game that uses two fair number cubes. The only way Pauli can win…

A: From given  There are two fair number cubes . Paul wins if he rolls double -ones twice in a row.…

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: Let X be the tow rating of a randomly chosen popular SUV from the list above. (a) What are the…

A: The variable x denotes the tow rating of a randomly chosen popular SUV from the list above.

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Male 9 7 2…

A: A B C total male 9 7 2 18 female 17 12 14 43 total 26 19 16 61   P(female or C) = ?…

Q: u= 100 and a standard deviation of o = a. The sampling distribution of the sample mean for samples…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: Two events A and B are having the following probabilities, P(A) = 0.41, P(B) = 0.44 Calculate…

A: Answer: From the given data, P(A) = 0.41 P(B) = 0.44   and   P(A and B) = 0.27

Q: Pets in a Pet Store black tawny kitten 5 17 10 23 15 40 P(black pet) 15/55 = 3/11 P(puppy) = 33/55 =…

A: Answer:- Given, the data in the table   Black Tawny Total Kitten 5 17 22 Puppy 10 23 33…

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

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Q: We wish to estimate (with 90% confidence) the proportion of students take the bus to school. We…

A: Given: They survey a random sample of 650 students and get the following results: 310 students take…

Q: Let X and Y have the joint pdf: x+y, 0, fx,y(x, y) = {{ 0≤x≤ 1,0 ≤ y ≤ 1; otherwise. (a) Determine…

A: According to the Bartleby guidelines expert solve only one question and maximum three subpart of the…

Q: 2010 Income Distribution up to $100,000 The following table shows the distribution of household…

A: The following table shows the distribution of household income in 2010 for a sample of 1000…

Q: A discrete time Markov chain {Xt, t = 0, 1, 2,..} with state space S= {1, 2, 3, 4, 5, 6, 7} has…

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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: 1.5.8. Suppose the random variable X has the cdf { 0 x+2 4 1 F(x) x<-1 −1≤ x < 1 1 ≤ x.| Write an R…

A: To sketch the graph of the cumulative distribution function (CDF) F(x) with the given conditions,…

Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

A: Consider the given dataset: Year Retail Sales 0 85.851 3 108.43 6 141.78 9 169.26 12…

Q: Find the probability of getting two numbers whose sum is less than 13. A) 2/2 B) 1/1 4 C) 0

A: A single die is rolled twice then possible sample events S={1,2,3,4,5,6}×{1,2,3,4,5,6} {(1, 1), (1,…

Q: Problem 13. Rock band The Rolling Stones have played scores of concerts in the last twenty years.…

A: sample size(n)=30 Mean(x)=2.43 standard deviation(σ)=0.54 confidence level=99%

Q: e the empirical probability formula to solve the exercise. Express the answer as a fraction. Then…

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

A: sample size(n)=20 p=13                           (i.e., 1 correct option in 3 options)…

Q: To compute the confidence interval use a     distribution. b. With 90% confidence the population…

A: x̄=38.3, ?=10.5, n=126

Q: Here is a bivariate data set. x y 21.6 164.5 37.7 136.7 28.2 96.7 10.8 -19.5 21.8 33.5 47.3 134.1…

A: The bivariate data set is given.

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: Toss a coin 3 times. Let the random variable x be the number of heads that you get

A: Toss a coin 3 times. Let the random variable x be the number of heads that you get.

Q: Q8. If P(A) = 0.3, P (BC) = 0.4 and P(An B) = 0.2. Find P(AUB), P (AUB), P (An BC), P(AB) and show…

A: The probabilities for the given data is determined below as follows: From the information, given…

Q: An urn contains 3 red marbles and 7 white marbles. A marble is drawn from the urn and a marble of…

A: An urn contains Number of red marbles = 3  Number of white marbles = 7

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: Determine the critical values for these tests of a population standard deviation. (a) A right-tailed…

A: The sample sizes, degrees of freedom and the level of significance are given

Q: Use a normal approximation to find the probability of the indicated number of voters. In this cas…

A: sample size(n)=137 probability of eligible voters voted(p)=0.22 Let "x" be the no. of eligible…

Q: 2. You have two coins, one that comes up heads 50% of the time and one that comes up heads 70% of…

A: We will conclude the is biased if the number of heads is &gt;=8 X be the number of heads in 10…

Q: 33. What is the probability that 5 of the swimming pools have safe chlorine levels? A. 39.56% B.…

A: AS per guidelines i have calculated 3 subparts plz repost for remaining parts . here ,  n = no of…

Q: Suppose A and B are two events, P(A)=0.36, P(B)=0.41 and P(A and B )=0.28 Find the P(A|B) Round…

A: We have given that. P(A) = 0.36, P(B) = 0.41 and P(A and B ) = 0.28

Q: Identify the sampling method used in the following. 1. The analyst needs a sample of size 50 from a…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: A B C D Total Accurate 334 274 232 135 975 Not accurate 36 57 34 16 143 Total 370 331 266…

Q: A population of 2,800 students from a certain region have normally distributed National Examination…

A: Mean(μ)=85 Standard deviation(σ)=5

Q: Suppose X₁, X2, ..., Xn are i.i.d expoential random variables with parameter A. Let Z = EX₁. Show…

A:

Q: a) The base chassis of a manufactured product is made up of numerous components. There can sometimes…

A: a) (i) The probability that component B will have fitting problems is 0.037, and the probability…

Q: 3. Suppose F, has density -{{ fa(z)= 1-cos 2nmr, if 0 ≤ ≤1 O.W. 0 Show that F, converges weakly to…

A: To show that Fn converges weakly to the uniform distribution on [0,1], we need to show that for any…

Q: A pet store owner wants to know if a new commercial will bring in more people than the old one. Out…

A: Total number of viewers=500 250 watch new commercial 250 watch old commercial

Q: The probabilities that discipline officers will discover violations of the student handbook in a…

A: Number of Violations(v) Probability P(v) 3 0.3200 4 0.1200 5 0.1700 6 0.1200 7 0.1300 8…

Q: Find P(-1.18 < z < 1.18). Type your answer...

A: Z~N(0,1) then find  P(-1.18&lt;Z&lt;1.18)

Q: Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means. Are TWELVE and AE…

A: 5. The data about award by grade are given.