A state university desires to accept only the top 15% of all graduating seniors who took their entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is...

A state university desires to accept only the top 15% of all graduating seniors who took their entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is normally distributed

• Find the probability that a person selected at a random will get a score greater than the mean of 500 but will not admitted to the university


• 15%


• 25%


• 35%


• 85%


• Find the cutoff score for the test


• 600


• 460


• 640


• 800


• Which of the following statements about the normal curve is false?


• All variables that are approximately normally distributed can be transformed into standard normal variables


• The total area under the normal distribution is one


• The standard normal distribution is unimodal


• The normal distribution is a continuous random probability distribution