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. ... (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 496 and 511. The probability that a randomly selected medical student who took the test had a total score that was between 496 and 511 is. (Round to four decimal places as needed.)

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(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.
(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.
B. The event in part (c) is unusual because its probability is less than 0.05.
C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05.
D. The event in part (a) is unusual because its probability is less than 0.05.
Transcribed Image Text:(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. (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. B. The event in part (c) is unusual because its probability is less than 0.05. C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. D. The event in part (a) is unusual because its probability is less than 0.05.
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.
(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
496 and 511.
The probability that a randomly selected medical student who took the test had a total score that was between 496
and 511 is
(Round to four decimal places as needed.)
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 10.6. 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 496 and 511. The probability that a randomly selected medical student who took the test had a total score that was between 496 and 511 is (Round to four decimal places as needed.)
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