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 10.3. 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 493. The probability that a randomly selected medical student who took the test had a total score that was less than 493 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 515. The probability that a randomly selected medical student who took the test had a total score that was between 500 and 515 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 527. The probability that a randomly selected medical student who took the test had a total score that was more than 527 is (Round to four decimal places as needed.)

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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 10.3. 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 493.
The probability that a randomly selected medical student who took the test had a total score that was less than 493 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 515.
The probability that a randomly selected medical student who took the test had a total score that was between 500 and 515 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 527.
The probability that a randomly selected medical student who took the test had a total score that was more than 527 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 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.
Transcribed Image 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 10.3. 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 493. The probability that a randomly selected medical student who took the test had a total score that was less than 493 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 515. The probability that a randomly selected medical student who took the test had a total score that was between 500 and 515 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 527. The probability that a randomly selected medical student who took the test had a total score that was more than 527 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 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.
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