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?
This solution provides calculations and graphs in Excel for various probability questions.