Find the area under the standard normal distribution curve between z=2.01 and z=2.33. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area between the z values is

Social Security Payments Consider the distribution of monthly Social Security (OASDI) payments. Assume a normal distribution with a standard deviation of $114. If one-fourth of payments are above $1214.53 , what is the mean monthly payment?

The mean monthly payment is. $

High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 475 and a standard deviation of 104. Round the final answers to the nearest whole number and intermediate z -value calculations to 2 decimal places.

(a)The top 4% of students receive $500. What is the minimum score you would need to receive this award?

Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is $982

in the United States. Assume that the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed. Find these probabilities of the monthly payment selected randomly. Enter the final answers as decimals rounded to at least four places. Round intermediate z -value calculations to two decimal places.

(a) More than $1330

P(X>1330)=