Question

in a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.6. answer parts (a)-(d) below
(round to four decimal places as needed.)
(b) find the probability that a randomly selected medical student who took the test had a total score that was between 500 and 512
the probability that a randomly selected medical student who took the test had a total score that was between 500 and 512 is 0.3708
(round to four decimal places as needed.)
(c) find the probability that a randomly selected medical student who took the test had a total score that was more than 523
the probability that a randomly selected medical student who took the test had a total score that was more than 523 is 0.0150
(round to four decimal places as needed.)
(d) identify any unusual events. explain your reasoning. choose the correct answer below.
a. the event in part (a) is unusual because its probability is less than 0.05
b. the events in parts (a) and (b) are unusual because their probabilities are less than 0.05
c. the event in part (c) is unusual because its probability is less than 0.05
d. none of the events are unusual because all the probabilities are greater than 0.05

Explanation:

In probability, an event is considered unusual if its probability is less than \(0.05\). In part (c), the probability is \(0.0150\) which is less than \(0.05\).

Answer:

C. The event in part (c) is unusual because its probability is less than \(0.05\)