In: Statistics and Probability
At a certain university 12% of students are left hand users. Suppose that a random sample of 8 students were admitted in 2015 is selected.
(a) What is the probability that none of them will be a left hand user?
(b) What is the probability that 5 of them are left hand users?
(c) What is the probability that at least 7 of them are left hand user?
(d) What is the probability that at most 7 of them are left hand user?
(e) What is the probability that between 4 and 6 (inclusive) of them are left hand user?
(f) What is the expected value and standard deviation of number of users with left hand?