Please answer q's d, e (i) and (ii)For this case, a=3, b=9, and label the random variable A.Student ID number: 300546514 Recycle the non-zero digits of your student ID number until you have 10 digits. Supposeeach digit was written on a piece of paper, and the ten pieces of paper put in a hat. Label therandom variable using the last consonant in your family name. Also, let a be the smallest digitgreater than 1 in your ID number, and let b be the number of letters in your family name.=e.g. a student named John Randal with ID number 300012345 would have: 3,1,2,3,4,5,3,1,2,3, a = 2and b 6, and would label the random variable L. A second student Luke Chu with ID number300101018 would have: 3,1,1,1,8,3,1,1,1,8, a = 3 and b = 3 and would label the random variable H.With eyes closed, youclosed, you select a piece of paper randomly from the hat. Let the random variablebe the digit written on this piece of paper. Noting that each piece of paper has probability 10of being selected:(a) Report the outcome space and the probability function f(x) of the random variable.(b) Calculate the mean of the random variable, showing all working.(c) Calculate the standard deviation of the random variable, showing all working.(d) Write down the moment generating function of the random variable, and its first deriva-tive with respect to t. Hence, show how the mean is obtained.(e) (i) Evaluate E(a + bX³). [You may assume linearity of expectation.](ii) Compare your previous answer to a + bE(X)³. Is the relationship as you'd expect?Explain.

Given student Id No: 300546514 1 2 3 4 5 6 7 8 9 10 3 5 4 6 5 1 4 3 5 4 a = 3 b = 9 The…

Answered: answer q's d, e (i) and (ii) For this…

Math

Statistics

answer q's d, e (i) and (ii) For this case, a=3, b=9, and

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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