The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for “slightly higher pay.”In addition, 88% of companies say that there is a shortage of qualified job candidates. Suppose 16 workers are randomly selected and asked if they would change jobs for “slightly higher pay.”
a. What is the probability that nine or more say yes?
b. What is the probability that three, four, five, or six say yes?
c. If 13 companies are contacted, what is the probability that exactly 10 say there is a shortage of qualified job candidates?
d. If 13 companies are contacted, what is the probability that all of the companies say there is a shortage of qualified job candidates?
e. If 13 companies are contacted, what is the expected number of companies that would say there is a shortage of qualified job candidates?