### cameroon gce A level 2022 business mathematics 3

cameroon gce A level 2022 business mathematics 3

a) State two characteristics of the Binomial distribution (2 Marks)

b) The rate of defectiveness of items from a production line is 2%. Five items are randomly selected

from the production line. Find the probability that:

i) Exactly two items are defective

ii) At least two items are defective

iii) At most two items are defective

c) Given that 100 items were randomly selected instead, use the Poison appropriation to the

Binomial distribution and calculate the probability that;

i) three items are defective

ii) less than three items are defective

2.

(11 marks )

(7 marks )

(Total = 20 marks )

a.) A bag contains 5 white balls and 7 green balls. Two balls are drawn, one after the other and without

replacement.

i ) Draw a tree diagram to represent the above information

ii) If the first ball drawn is white, Find the probability that the second ball is green.

iii) Find the probability that the two balls are of the same colour

b) X is a discrete random variable with mean 6.0. Its distribution is given below