According to the University Business Officers, in 2014–2015, 89% of first-time, full-time freshmen at private colleges were the recipients of some form of financial aid. If a random sample of six freshmen was selected for the academic year 2014–2015:

a. What is the probability that all six freshmen from this sample received financial aid in 2014–2015?

b. What is the probability that four or more freshmen from this sample received financial aid in 2014–2015?

c. What is the probability that fewer than five freshmen from this sample received financial aid in 2014–2015?

d. What are the mean and standard deviation for this distribution?

e. Construct a histogram for this distribution.