In a large city 1 person in 5 is left-handed.

a. Find the most likely number of left-handed people in a random sample of 6 people.

b. Find the mean and the standard deviation of the number of left-handed people in a

random sample of 25 people.

c. How large must a random sample be if the probability that it contains at least one lefthanded

person is to be greater than 0.95?