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

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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 10.6

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. Find the probability that a randomly selected medical student who took the test had a total score that was more than 529.

The probability that a randomly selected medical student who took the test had a total score that was more than 529 is _______

math Statistics-And-Probability

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Answer 1

Answer #1

Solution:- Given that mean = 500, sd = 10.6

The probability that a randomly selected medical student who took the test had a total score that was more than 529 is 0.0031

=> P(X > 529) = P((X-mean)/sd > (529-500)/10.6)
= P(Z > 2.7358)
= 1 - P(Z < 2.7358)
= 1 - 0.9969
= 0.0031

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Answer 2

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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 10.6

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