Question:

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.

1. 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?
   
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