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Scores on standardized Exam X are normally distributed with mean 500 a

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Carcass
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Scores on standardized Exam X are normally distributed with mean 500 a [#permalink] New post   07 Nov 2021, 16:12
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Scores on standardized Exam X are normally distributed with mean 500 and standard deviation 100. Scores on standardized Exam Y are normally distributed with mean 21 and standard deviation 5.


Quantity A
Quantity B
The probability of scoring above 600 on Exam X
The probability of scoring above 31 on Exam Y



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Scores on standardized Exam X are normally distributed with mean 500 a [#permalink] New post   08 Nov 2021, 06:58
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Carcass wrote:
Scores on standardized Exam X are normally distributed with mean 500 and standard deviation 100. Scores on standardized Exam Y are normally distributed with mean 21 and standard deviation 5.

Quantity A
Quantity B
The probability of scoring above 600 on Exam X
The probability of scoring above 31 on Exam Y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Given: Scores on standardized Exam X are normally distributed with mean 500 and standard deviation 100.
So, our normal distribution looks like this:
Image
At this point, we can see that 16% of the values are greater than 600
So, Quantity A = 16%


Given: Scores on standardized Exam Y are normally distributed with mean 21 and standard deviation 5.
So, our normal distribution looks like this:
Image
At this point, we can see that 2% of the values are greater than 31
So, Quantity B = 2%

Since Quantity A > Quantity B, the correct answer is A
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Re: Scores on standardized Exam X are normally distributed with mean 500 a [#permalink]
08 Nov 2021, 06:58
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