Directions: Read, analyze, and solve the problems below. Show your complete solutions.

1. There are 250 dogs at a dog show that weigh an average of 12 pounds
a standard deviation of 8 pounds. If 4 dogs are chosen at random, what is
the probability that the average weight is greater than 8 pounds?

2. The average number of pages in a novel is 326 with a standard deviation of 24
pages. If a sample of 50 novels is randomly chosen, what is the probability that
the average number of pages in these books is between 319 and 331?

3. The number of driving miles before a certain kind of tire begins to show wear is
on the average, 16,800 miles with a standard deviation of 3,300 miles.

a. What is the probability that the 36 tires will have an average of less than
16,000 miles until the tires begin to wear out?

b. What is the probability that the 36 tires will have an average of more than
18,000 miles until the tires begin to wear out?​