A candidate for public office is thought to have the support of 60% of the voters. A random sample of 100 voters was gathered to verify this position. Use the normal approximation of a binomial to answer the following questions.What are the expected value (mean) and standard deviation for the number of "pro" voters?
- What is the probability that the number of voters who support the candidate is exactly 50?
- What is the probability that the number of "pro" voters is more than 70?
- What is the probability that the number of "pro" voters is between 50 and 65?