The average price of a 42-in. television on Best Buy's website is $790. Assume the price of these televisions follows the normal distribution with a standard deviation of $160. VERIFY ANSWERS WITH EXCEL!

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

a. Less than $700?

b. Between $400 and $500?

c. Between $900 and $1,000?

2. Confirm the answers to part 1 (above) using Excel or PHStat.

3. The price intervals in parts (1) 2 and (2) 3 are equal ($100). Why are these probabilities so different?

4. Suppose I am shopping on Best Buy's website for a new 42-in. television and my wife (also know as she-who-has-veto-power-over-all-electronic-purchases) suggest we set a budget of $750 for the purchase. There are 15 x 41-in. televisions on the site. How many televisions are within my budget?