The correlation of X and Y is :. Two random variables X and Y have the joint probability density functionxy0 8For the two random variables X and Y in the previous questionX and Y are not independentX and Y are uncorrelated and not independentO x and Y are correlated but not independentO x and Y are independent

Answered: Image /qna-images/answer/40e2ffcb-58e2-47fc-b775-a3ea564df9f2.jpg

For the two random variables X and Y ,in the previous question O Xand Y are not independent OX and Y are uncorrelated and not independent O Xand Y are correlated but not independent OX and Y are independent

For the two random variables X and Y ,in the previous question O Xand Y are not independent OX and Y are uncorrelated and not independent O Xand Y are correlated but not independent OX and Y are independent

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
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Ivan Pedroso is a long jump athlete who wishes to qualify for the upcoming Summer Olympics. The olympic qualifying standard is 8.22 m in men's long jump, so a jump is considered as successful if it is equal to 8.22 m or more. Suppose that at each jump, Pedroso has a 0.05 chance of jumping successfully. Assume that all jumps are independent. For j= 1,2,3,...Let X; be the random variable that equals 1 if Pedroso jumps successfully at jth jump, and equals 0 otherwise. Let Y be the trial number where Pedroso jumps successfully for the first time, and let Z be the total number of successful jumps out of the first 250 trials. Which of the following is true? Select one or more: O a. P(Y = 5) = ()(0.05) (0.95)20 O b. E(Z) = 250E(X1) O c. Z has a geometric distribution O d. E(Y) = 20 O e. E(Z) = 20 O f. Y has a binomial distribution Og. X, has a geometric distribution O h. (X_3 \) has a Bernoulli distribution Oi. (E(X_5)=0.25 \)
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An "extraneous variable" is not a problem unless it with the independent variable O is identical systematically co-varies is not correlated Wait! An "extraneous variable" is by definition never a problem, that's what "extraneous" means.