Question

Use the normal distribution of SAT critical reading scores for which the mean is 506 and the standard deviation is 112. Assume the variable x is normally distributed. left parenthesis a right parenthesis What percent of the SAT verbal scores are less than 600? left parenthesis b right parenthesis If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525?

Answer #1

Given,

= 506 , = 112

We convert this to standard normal as

P( X < x) = P( Z < x - / )

a)

P( X < 600) = P( Z < 600 - 506 / 112)

= P( Z < 0.8393)

= **0.7993**

b)

P( X > 525) = P( Z > 525 - 506 / 112)

= P( Z > 0.1696)

= **0.4327**

Of the 1000 scores we expect 0.4327 * 1000 = 432.7 **433**
Scores greater than 525.

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and the standard deviation is
119
Assume the variable x is normally distributed.
left parenthesis a right parenthesis(a)
What percent of the SAT verbal scores are less than
600?
left parenthesis b right parenthesis(b)
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
525?
left parenthesis a right parenthesis(a)
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scores are randomly selected, about how many would you expect to
be greater than 550?

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variable x is normally distributed.
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If 1000 SAT verbal scores are randomly selected, about how many
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