The scores on a university entrance exam are normally distributed with a mean of 72% and a

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The scores on a university entrance exam are normally distributed with a mean of 72% and a standard deviation of 15.

a. Find the probability that a student taking the entrance exam will score below 81.

b. Find the probability that a student taking the entrance exam will score between 65 and 71.

c. Find the grade of a student such that the corresponding probability is higher than 25%.

d. If a student scored 85 on this test and his friend scored 65 on another entrance test with a mean of 55 and a standard deviation of 2. Which of the two students scored better in reference to the group?

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