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 10.7. Answer parts (a)-(d) below. (a) Find the probability...

Extracted text: 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 10.7. Answer parts (a)-(d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 487. The probability that a randomly selected medical student who took the test had a total score that was less than 487 is (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 (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 531. The probability that a randomly selected medical student who took the test had a total score that was more than 531 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. None of the events are unusual because all the probabilities are greater than 0.05. O B. The event in part (c) is unusual because its probability is less than 0.05. O C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. O D. The event in part (a) is unusual because its probability is less than 0.05. Sni