A pizza shop sells pizzas in four different sizes. The 1000 most recent orders for a single pizza gave the following proportions for the various sizes:

Size 12 in. 14 in. 16 in. 18 in.

Proportion .20 .25 .50 .05 With x denoting the size of a pizza in a single-pizza order, the given table is an approximation to the population distribution of x.

a. Construct a relative frequency histogram to represent the approximate distribution of this variable.

b. Approximate P(x , 16).

c. Approximate P(x # 16).

d. It can be shown that the mean value of x is approximately 14.8 inches. What is the approximate probability that x is within 2 inches of this mean value?