1.Using the binomial distribution formula find the following given n = 7 and p = 0.2

a. (=3)

b. (3) [4]

2.If the probability that a marriage will end in divorce within 10 years is 0.3 , find the probability that in a sample of 16 couples chosen at random

a. 3 or less will end in divorce within 10 years of marriage

b. 2 or more will not end in divorce within 10 years of marriage [5]

3.The mean number of bacteria in a sample of 10ml liquid collected from a lake is 5. Find the probability that a sample has

a.no bacterium

b.one bacterium

c.more than three bacteria [6]