Discuss the below:
Q1. On average, 40% of U.S. beer drinkers order light beer.
a. What is the probability that none of the next eight customers who order beer will order light beer?
b. What is the probability that one customer will?
c. What is the probability that two customers will?
d. What is the probability that fewer than three will?
e. Construct the probability distribution (using Excel or the appropriate Appendix), make a graph of its PDF, and describe its shape.
Q2. Candidates for employment at a city fire department are required to take a written aptitude test. Scores on this test are normally distributed with a mean of 260 and a standard deviation of 51. A random sample of nine test scores was taken.
a. What are the mean and standard error for this sample?
b. What is the probability that the sample mean score is less than 250?
c. What is the probability that the sample mean score is more than 230?