On Crait, 40% of the surviving resistance fighters are pilots. Preparing for KyloRen's assault on their position, a random sample of 25 resistance fighters is taken. Using this information, answer the following questions.
a. What is the expected number of pilots in the sample?
b. What is the probability that the sample contains exactly four pilots?
c. What is the probability that the sample contains exactly one pilots?
d. What is the probability that the sample contains more than 6 pilots?
e. What is the probability that the sample contains fewer than 7 pilots?