[Step-by-Step] Properties of the Binomial Distribution Long-term history has shown that 25% of all elected offices in a rural county have been won by Democratic
Question: Properties of the Binomial Distribution
Long-term history has shown that 25% of all elected offices in a rural county have been won by Democratic candidates. This year there are 4 offices up for public election in the county. Let a "success" correspond to a Democratic being elected to public office in the county and X = the number of Democrats that have been elected out of the 4 offices that were up for election.
- What are the values of n, p, and q?
- What are the possible outcomes for the random variable X ? List them in the table below .
(c) Using what you know about the binomial distribution and Table 3, complete the second column to create a probability distribution table.
| x | P(x) |
(d) What is the expected number of Democrats who will win office in the coming election?
(e) What is the standard deviation of r ?
Deliverable: Word Document 
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