The joint pmf of X and Y are given in the table below: Y X 2 4 27 15 6 15 1 15 3 15 3 15

Q: Find k such that P(k< T < 2.947) = 0.845 when T~t15

A: In this case, the random variable T follows t distribution with degrees of freedom of 15.

Q: A fair die is thrown. What is the probability that the number showing up is NOT a divisor of 6? O…

A: The outcome of a fair die is {1, 2, 3, 4, 5, 6}.

Q: The admission committee of AUCA enrolls 76% of those who took the exam. If the scores follow a…

A:

Q: Let X,Y, Z be random variables each having a mean µ and variance o². rurther, let Cov(X,Y) = 2,…

A: In question, Given that X, Y, Z are three random variables with mean mu and variance sigma^2. And,…

Q: A continuous random variable Z has range equal to the entire real line with pdf fz(z)=e-|z|/2  find…

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Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

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Q: From a group of 7 men and 6 women, any five persons are to be selected to form a committee. In how…

A:

Q: Example 34. Find the mode for the following data: Marks : 1- 5 6 - 10 11 – 15 16 – 20 21 - 25 No. of…

A: Given that  Class Frequency 1 - 5 7 6 - 10 10 11 - 15 16 16 - 20 32 21 - 25 24 Mode…

Q: It's G Firm 25th anniversary. They are giving prizes to every 25th response. Find the probability of…

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Q: chosen, what is the probability that a member participates in choir or drama.

A: Here total participants = 170

Q: Estimate the value of sales for the year 1985 by using the method of least square for t nalysis.…

A: Least squares trend: Steps to construct scatter plot in Excel: Enter the Year and Sales in Excel…

Q: 3. Find rank correlation co-efficient and comment Marks in Mathematics (x): 60 70 50 40 80 90 85 96…

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Q: 1 Find the cumulative distribution function for the probability density function f(x) = 18 on the…

A: We have given that the probability density function is  f(x) = (x/18)-(1/36),      [3, 7]

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days…

A: In question, We have given mean 269 days with standard deviation of 14 days. Then we'll find, P(…

Q: The proportion of impurities per batch in a chemical product is a random variable X with density…

A: Obtain the mean of the proportion of impurities in a randomly selected batch of chemical.   The…

Q: 34 Use the values computed in our examples and the recurrence relation to find the value of the…

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Q: JOINT PROBABILITY DISTRIBUTION: Box your answers. A popular clothing manufacturer receives Internet…

A: Let X be the random variable that represents the time between orders from the routing systems. Given…

Q: Let 7 denote the proportion of grocery store cus- tomers that use the store's club card. For a large…

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Q: An economist would like to estimate the mean amount of money that a family spends to within $36. If…

A: Given that  Population standard deviation =200 Margin of error =E =36 91% confidence.

Q: A group of researchers were interested in ways to lower blood pressure. The study consisted of 90…

A: Given Information: The researchers were interested to lower blood pressure in individuals. A total…

Q: Tell whether there is a significant difference in the mean serum cholesterol of individual who…

A: Given information: No. of variables=5, i.e. Weight, Exercise, Systolic Pressure (before the…

Q: Example 22. Draw the histogram for the following data : Marks 0 - 10 10 - 20 20 – 30 30 – 40 40 – 50…

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Q: A joint density function of the continuous random variables x and y is a function f(x, y) satisfying…

A: Given information: fx,y=16xy, 0≤x≤2, 0≤y≤6 Consider, ∫x=02∫y=06fx,ydydx=∫x=02∫y=0616yxdydx…

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

A: Given,sample size(n)=36mean(μ)=502standard deviation(σ)=25

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: If the probability of failure is 0.60 and the number of binomial trials is 90, what is t expected…

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Q: If the random variable X has an exponential distribution with rate parameter A = 11.42 then, given…

A: We have given that λ = 11.42 We know that, Var(X2)= E(X4)-(E(X2))2 Given that X~exp(11.42) So…

Q: A digital scale is used that provid rest gram. What is the sample space for this experi: A denote…

A: * Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

Q: nplify the following using De Morgan's and justify your answers using Venn Diagram a. ((A' n B)' U…

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Q: The proportion of all passenger who experiencing flight delay is sample statistics and can be…

A: Solution

Q: 12. Find the following table. 1. Fit a straight line trend by the method of least square. 2.…

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Q: Table Q3(a) Impact test results of a sample preparation of sisal polypropylene composite S S f S S S…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 28 A box contains 5 blue marbles, 3 green marbles, and 7 red marbles. How many marbles must be…

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Q: /2. A company wanted to assess the impact of R and D expenditure (X) on annual profit (Y). Following…

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Q: t = 3.2. What conclusion is appropriate at each of the fol- lowing significance levels?

A: here given  sample size  = n = 15 test statistic  = t  = 3.2 and here it is right tail test

Q: 3 Calculate the two line of regression for the following data. X: 1 2 3 4 5 Y. 3 6. 9. 12 15 Scanned…

A: Find regression lines  (1) y on x (2) x on y

Q: Suppose two dice are rolled together. What is the probability that the two numbers showing up are…

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Q: how many ways are there to pick the set of people who are interviewed

A: We have given that  Total number of applicants = 50 After reduced the number of candidates than the…

Q: Imagine a man on the grid below. A path is considered to be "valid' if it consists only "go right"…

A: a. From the given information, Given that a man can go either right or up. Observe that a man can go…

Q: Use the information in this binomial probability expression to calculate the expected value. (55 C…

A: Given

Q: Suppose that the time it takes an equipment to break down after being put to use is exponentially…

A:

Q: Example 27. The distribution of monthly wages (in Rs.) of 40 workers in a factory is given below:…

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Q: What is the variance of X

A: here given continuous probability density function  c(1- x2)           -1 ≤x ≤ 10…

Q: Q1. a) If X~N(25, 16), then find the following probabilities. i) P(X > 31) ii) P(16 < X < 34) b)…

A: Given that.   X~N( μ=25 , ?^2=16 )   μ=25     , ?=4   Z-score =( x - μ )/?   NOTE:- According to…

Q: 1. A true-false test contains 5 questions. How many ways can a student answer the test if ____. (a)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: a) Find P[R3|L4]. (b) Find P[R4|L5]. (c) Find P[L2|O]

A: here dingle die is rolled  so total possible outcomes are 6 here probability of rolling each number…

Q: The mean weight of all 20-year-old women in a certain region is 130 pounds. A random sample of 50…

A:

Q: selected such that at least one boy should be there? b. From a group of 7 men and 6 women, five…

A: The study of probability provides a mathematical framework for such assertions and is essential in…

Q: (a) Find the marginal density function for Y,. f2(Y2) = , where (b) For what values of y, is the…

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Q: 2. (1) Compute for the Relative Frequency and Percent Relative Frequency for the Frequency…

A: Given: N=160