1.If Z is a standard normal variable, find the probability.

P(Z > 0.59)

2.In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45.

3.Assume that X has a normal distribution, and find the indicated probability.

The mean is = 15.2 and the standard deviation is = 0.9. Find the probability that X is between 14.3 and 16.1.

4.Scores on an English test are normally distributed with a mean of 36.8 and a standard deviation of 7.6 . Find the score that separates the top 41% from the bottom 59%

5.Assume that X has a normal distribution, and find the indicated probability.

The mean is = 60.0 and the standard deviation is = 4.0. Find the probability that X is greater than 53.0.