If Z is a standard normal random variable, then use the table and find (Graph and shade the area)

P( 1.55 < Z < 2.18) =

(Q 2) ( 15 points) Suppose the variable x has a non-standard normal distribution, with mean 126 and standard deviation 8. Find P ( 110 < x < 146 ).

(Q 3) ( 20 points) Suppose we know that the life of a certain brand of tire is normally distributed with a mean of 45,000 miles and a standard deviation of 2000 miles. Find the probability that a new tire that Jack has bought for his car will last between 40,000 and 50,000 miles