A recent study found that 67% of workers between the ages of 20-29 cash out their retirement accounts when they lose their jobs or move to a new employer. Complete parts a through e below based on a random sample of 14 workers between the ages of 20-29 who lost their jobs or changed employers.
a. What is the probability that exactly 13 workers cashed out their retirement accounts?
b. What is the probability that all 14 workers from the sample cashed out their retirement accounts?
c. What is the probability that 11 or fewer workers cashed out their retirement accounts?
d. What are the mean and standard deviation for this distribution?