Question 1

Thirty percent of all customers who enter a store will make a purchase. Suppose that six customers enter the store and that these customers make independent purchase decisions.

(a) Letx= the number of the six customers who will make a purchase.

binomial formula for this situation. List down the possible values ofx.

1. (b)Use the binomial formula to calculate
2. (i)The probability that exactly five customers make a purchase.
3. (ii)The probability that at least three customers make a purchase.
4. (iii)The probability that two or fewer customers make a purchase.
5. (iv)The probability that at least one customer makes a purchase.
6. (c)Find the mean, variance and standard deviation forx.