m&m’s chocolate candies come in six different colours. Suppose the colour distribution is as follows:

Colour Blue Brown Green Orange Red Yellow
Probability 0.12 0.23 0.17 0.16 0.22 0.1

(a) If you randomly select nine m&m’s, what is the probability that exactly three of them are brown?

(b) If you randomly select 15 m&m’s, what is the probability that less than three of them are green?

(c) If you randomly select 175 m&m’s, what is the approximate probability that at least 19% of them are orange?

(d) If you randomly select 250 m&m’s, what is the approximate probability that between 21% and 27% of them are red?