2. (a)Createa probability distribution using the data which shows how many cartons of the wine cooler were bought per customer in a month based on the table below.

(b)Calculate the mean and the standard deviation of your probability distribution.

(c)Calculate the probability that exactly 3 six packs will be bought in a month.

(d)Calculate the probability that between 4 and 8 six packs will be bought in a month.

(e)Calculate the probability that at least 5 six packs will be bought in a month

(f)Calculate the probability that no more than 5 six packs will be bought in a month

# of wine coolers #people who purchased them

0 7

1 6

2 6

3 13

4 14

5 12

6 10

7 5

8 5

9 5

10 2

Total 85