Give the following answers to three decimal places, where appropriate.(c) Find the expected value of Y.Answer:(d) Find the variance of Y.Answer: Let X; be independent Uniform(-10,10) random variables, for i=1, 2, ..., 5.LetY=X₁+X₂+...+X5.(b) Find which of the following statements are correct for the moment generating function (mgf) My(t) of Y.It is equal to the product of the mgfs of the Xi, for i=1,...,5The mgf of 2Y is obtained by replacing in the mgf of Y the value t by 2t.It is equal to the sum of the mgfs of the Xi, for i=1,...,5It is equal to 5 times the mgf of Xi, for some integer i between 1 and 5It is equal to the mgf of any Xi to the power of 1/5, for i=1,...,5It is equal to 10 times the mgf of any Xi to the power of 5, for some integer i between 1 and 5

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Answered: Give the following answers to three…

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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In the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 AB 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Но: O Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.
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Give the following answers to three decimal places, where appropriate. (c) Find the expected value of Y. Answer: (d) Find the variance of Y. Answer: