5. Given that P(A) = 0.7, P (A/B) = 0.7, P(AB) notation same as P (A and B) = 0.42, find the following probabilities:

a. P(B)

b. P(B/A)

c. P (A U B) notation same as P (A or B)

d. P (AB/ A U B)

6. The number of white corpuscles on a slide has a Poisson distribution with mean 4.5.

a. Find the most likely number of white corpuscles on a slide.

b. Calculate correct to three decimal places the probability of obtaining this number

c. If such two slides are prepared, what is the probability, correct to three decimals places of obtaining at least two white corpuscles in total on the two slides?

7. At Foodland Supermarket 45% of customers pay by credit card. Find the probability that in a randomly selected sample of fifteen customers.

a. Exactly four pay by credit card

b. More than ten pay by cash (give answers to 3 decimal places)