QUESTION TWO (25 MARKS)

The products and services offered by Mtier Mixed Concrete range from standard ready mixed concrete to highly specialised concretes, such as fibre-reinforced concrete, coloured concrete, durability concrete or any other product designed specifically for the clients. Mtier Mixed Concrete that supplies ready-mix concrete receives, on average, four orders per day. Using this information answer the following questions:

a. Which probability distribution is appropriate in this case? Why?

(3)

b. What is the probability that no more than three orders will be received per day. (7)

C. What is the probability that two or four orders will be received per day.

(3)

d. What is the probability that at least two orders will be received in a two-day period. (7)

e. What is the probability that, on a given half-day, at most 2 orders will be received.