Homework help in stats

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1.Let Z be the standard normal random variable.  What is P(Z>0.38)?

2.Let Z be the standard normal random variable.  What is P(Z>-2.38)?

3.Let Z be the standard normal random variable.  Find z so that the area to the left of z is 0.3156.

4.Let Z be the standard normal random variable.  Find z>0 so that the area between -z and +z is 0.95.

5.Assume the average amount of precipitation in a town of Texas, during the month of April is 4.0 inches (the World Almanac, 2000).  Assume that a normal distribution applies and that the standard deviation is 0.5 inches.  What percentage of the time does the amount of rainfall in April exceed 4.5 inches?

6.Assume the average amount of precipitation in a town of Texas, during the month of April is 4.0 inches (the World Almanac, 2000).  Assume that a normal distribution applies and that the standard deviation is 0.5 inches.  What percentage of the time does the amount of rainfall in April be less than 4.5 inches?

7.Let Z be the standard normal random variable. What is P(-1.98<Z<0.79)?

8.Let Z be the standard normal random variable.  What is P(Z<-1.38)?

9.Let Z be the standard normal random variable.  What is P(Z<2.38)?

10.Assume the average amount of precipitation in a town of Texas, during the month of April is 4.0 inches (the World Almanac, 2000).  Assume that a normal distribution applies and that the standard deviation is 0.5 inches.  A month is classified as extremely wet if the amount of rainfall is in the upper 10% for the month.  How much precipitation must fall in April for it to be classified as extremely wet?