(1) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to...

(1)  Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following? Round your answers to four decimal places.

a.    All 16 reach the summit

b.    At least 10 reach the summit

c.    No more than 12 reach the summit

d.    From 9 to 12 reach the summit, including 9 and 12

e.    What is the expected number of climbers that will reach the summit?