Question 2Suppose that a die is rolled twice. Let X be the minimum value to appear in the tworolls.Construct the table of the probability mass function of X . Demonstrate howyou obtained the probability values for each value of X .(a)(b)Obtain the distribution function of X.(c)Write out the moment generating function. Hence, compute the mean.(d)Justify your answer in (c) using the basic definition of the mean.(e)Using the second factorial moment of X , compute the variance.

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Answered: Question 2 Suppose that a die is rolled…

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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Check in each case whether the normal approxima-tion to the binomial distribution may be used according to the rule of thumb in Section 6.(a) n = 16 and θ = 0.20;(b) n = 65 and θ = 0.10;(c) n = 120 and θ = 0.98.
Let X be a random variable with the following probability values. F(x)= c(1-2x2+x®), x= 0,1,2,3,4,5. (a) Find the value of c to make it a probability distribution. (b) Establish the probability distribution of X (table). (c) Find the mean of the random variable X.
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