The average price of a 42- in. television on Best Buy’s Web site is $ 790. Assume the price of these televisions follows the normal distribution with a standard deviation of $ 160.

a. What is the probability that a randomly selected television from the site sells for

1. Less than $ 700?       

2. Between $ 400 and $ 500?

3. Between $ 900 and $ 1,000

b. Confirm the answers to part a using Excel or PHStat.

c. The price intervals in parts a) 2 and a) 3 are equal ($ 100). Why are the probabilities so different?

d. Suppose I am shopping on Best Buy’s Web site for a new 42- in. television and my wife (also known as she-who- has- veto- power- over- as she who has veto power-over- all- electronic- purchases) suggests we set a budget of $ 750 for the purchase. There are 15 42- inch televisions on the site. How many televisions are within my budget?