In a statistics class of 12 students, approximately 30% of statistics students do their assignments in time for it to be collected and graded. Each student does homework independently.

a. The probability of success for the situation above p=0.3p=0.3.What is the probability of failure?

b. Students are selected randomly. Find the probability that

i. exactly 2 students will do their homework on time.

ii. less than 2 will do their homework on time.

c. Find the mean and the standard deviation.