Dixy Hats expects to make the following profits next year:

State Probability Profit (R000)

1 0,1 4 000

2 0,2 5 000

3 0,4 6 500

4 0,2 8 000

5 0,1 9 000

You are required to:

a) Calculate the mean, standard deviation and co-efficient of variation of the probability distribution.

b) Determine the probability that profit will exceed R6 900 000, fall below R4 750 000, and fall between R4 750000 and R6 900000.

c) Determine the probability of profit falling between R6 500 000 and R8 000 000. ability of profit falling between R6 500 000 and R8 000 000.