Question

A university administers a standardized exam where scores follow a normal distribution with a mean of 75 and a standard deviation of 10 a) To qualify for a scholarship, a student must score at least 90. What is the probability that a randomly selected student qualifies for the scholarship? b) If 500 students take the exam, how many are expected to qualify for the scholarship? c) The university wants at least 50 students to receive the scholarship. What should the new minimum score requirement be to ensure that at least 50 students qualify?

          A university administers a standardized exam where scores follow a normal distribution with a
mean of 75 and a standard deviation of 10
a) To qualify for a scholarship, a student must score at least 90. What is the probability that
a randomly selected student qualifies for the scholarship?
b) If 500 students take the exam, how many are expected to qualify for the scholarship?
c) The university wants at least 50 students to receive the scholarship. What should the new
minimum score requirement be to ensure that at least 50 students qualify?

Added by Virginia H.

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