Question 221 reads Find EX for each of the distributions giv

Question 2.2-1 reads: Find E(X) for each of the distributions given in Exercise 2.1-3.

Question 2.1-3 reads:

2.1-3. For each of the following, determine the constant c so that f(x) satisfies the conditions of being a pmf for a random variable X, and then depict each pmf as a line graph:

d) f(x) = c(x+1)^x; x = 1,2,3...

Solution

c=1/75

E(X)=212/75

=2.82666667