Question: Problem 16)

Long-term history has shown that 65% of all elected offices in a rural county have been won by Republican candidates. This year there are 5 offices up for public election in the county Let r be the number of public offices won by Republicans.

a) Find P(r) for r=0,1,2,3,4, and 5

b) Make a histogram for the r probability distribution.

c) What is the expected number of Republicans who will win office in the coming election?

d) What is the standard deviation of r?