Question: please answer ffIn a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard
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\f\fIn a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.4. 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 490. The probability that a randomly selected medical student who took the test had a total score that was less than 490 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 495 and 507. The probability that a randomly selected medical student who took the test had a total score that was between 495 and 507 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 525. The probability that a randomly selected medical student who took the test had a total score that was more than 525 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. 0 A. None of the events are unusual because all the probabilities are greater than 0.05. O B. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. O C. The event in part (c) is unusual because its probability is less than 0.05. O D. The event in part (a) is unusual because its probability is less than 0.05. Find the indicated probability using the standard normal distribution. P(z > - 1.37) Click here to View page 1 of the standard normal table. Click here to View page 2 of the standard normal table. P(z> - 1.37): D (Round to four decimal places as needed.)
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