In a recent year, the total scores for a certain standardized test were normally distributed

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plete) Save In a recent vear, the total scores for a certain standardized test were normally distributed, with a mean of 500

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 10.5.

(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490

(b) Find the probability that a randomly selected medical student who took the test had a total score that was between 497 and 511

(c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 531

math Statistics-And-Probability

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Answer 1

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Answer #1

solution:

Solution :

Given that ,

c.

mean = = 500

standard deviation = = 10.5

P(x >531 ) = 1 - P(x < 531)

= 1 - P[(x - ) / < (531-500) / 10.5]

= 1 - P(z <2.95 )

Using z table,

= 1 -0.9984

probability=0.0016

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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

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