The Bureau of Labor Statistics reported in a recent year that 5% of employed adults in the United States held multiple jobs. A random sample of 75 employed adults is chosen.

a. Is it appropriate to use the normal approximation to find the probability that less than 6.5% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not.

b. A new sample of 350 employed adults is chosen. Find the probability that less than 6.5% of the individuals in this sample hold multiple jobs.

c. Find the probability that more than 6% of the individuals in the sample of 350 hold multiple jobs.

d. Find the probability that the proportion of individuals in the sample of 350 who hold multiple jobs is between 0.05 and 0.10.

e. Would it be unusual if less than 4% of the individuals in the sample of 350 held multiple jobs?