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 th test had a total score that was less than 494. The probability that a randomly selected medical student who took the test had a total score that was less than 494 is 0.2810. (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 497 and 509. The probability that a randomly selected medical student who took the test had a total score that was between 497 and 509 is (Round to four decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 494.
The probability that a randomly selected medical student who took the test
had a total score that was less than 494 is 0.2810.
(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 497 and 509.
The probability that a randomly selected medical student who took the test
had a total score that was between 497 and 509 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 10.3. 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 494. The probability that a randomly selected medical student who took the test had a total score that was less than 494 is 0.2810. (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 497 and 509. The probability that a randomly selected medical student who took the test had a total score that was between 497 and 509 is (Round to four decimal places as needed.)
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,