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?
Solution explains step by step methodology to find out the probability distribution for binomial case. Probabilty distribution is shown by histogram. Standard deviation and Expected Number of winning are also calculated.