A professor of management has heard that seven students in h

A professor of management has heard that seven students in his class of 42 have landed an internship for the summer. Suppose he runs into two of his students in the corridor

a. Find the probability that neither of these students has landed an internship. (Round your intermediate calculations and final answer to 4 decimal places.)

b. Find the probability that both of these students have landed an internship. (Round your intermediate calculations and final answer to 4 decimal places.)

Solution

Prob for any student to have landed an internship for summer =7/42 = 1/6 = 0.1667

n = sample size = 2

X - no of students having internship is binomial

a) P(x=0) = 0.8333²

= 0.6944

b) P(X=2) = 0.1667²

=0.0278