# Question: For each of the following distributions find E X

For each of the following distributions, find μ = E(X), E[X(X− 1)], and σ2 = E[X(X− 1)] + E(X) − μ2:

## Answer to relevant Questions

Let μ and σ2 denote the mean and variance of the random variable X. Determine E[(X − μ)/σ] and E{[(X − μ)/σ]2}. For the lottery described in Exercise 2.4-13, In Exercise 2.4-13 It is claimed that for a particular lottery, 1/10 of the 50 million tickets will win a prize. Find the smallest number of tickets that must be purchased so ...In 2012, Red Rose tea randomly began placing 1 of 12 English porcelain miniature figurines in a l00-bag box of the tea, selecting from 12 nautical figurines. (a) On the average, how many boxes of tea must be purchased by a ...Sketch the graphs of the following pdfs and find and sketch the graphs of the cdfs associated with these distributions (note carefully the relationship between the shape of the graph of the pdf and the concavity of the ...Use the moment-generating function of a gamma distribution to show that E(X) = αθ and Var(X) = αθ2Post your question