Suppose 94% of all students taking a beginning programming course fail to get their first program to run on the first submission. Use a binomial distribution and assign probabilities to the possibilities that among a group of 4 such students,
(a) all fail on their first submissions
(b) at least 3 fail on their first submissions
(c) less than 3 fail on their first submissions
(d) Continuing to use this binomial model, what is the mean number who will fail?
(e) What is the standard deviation?