Shorty’s Muffler advertises it can install a new muffler in 30 minutes or less. However, the work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less. The Maumee branch installed 50 mufflers last month. If the corporate report is correct:
a. How many of the installations at the Maumee branch would you expect to take more than 30 minutes?
b. What is the likelihood that fewer than eight installations took more than 30 minutes?
c. What is the likelihood that eight or fewer installations took more than 30 minutes?
d. What is the likelihood that exactly 8 of the 50 installations took more than 30 minutes?