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It is possible to score higher than 1600 on the combined mathematics and reading portions of the SAT, but scores 1600 and above are reported as 1600. Suppose the distribution of SAT scores (combining mathematics and reading) was approximately Normal with mean of 1011 and standard deviation of 214.What proportion of SAT scores for the combined portions were reported as 1600? That is, what proportion of SAT scores were actually higher than 1600?(Enter an answer rounded to four decimal places.)

Question

It is possible to score higher than 1600 on the combined mathematics and reading portions of the SAT, but scores 1600 and above are reported as 1600. Suppose the distribution of SAT scores (combining mathematics and reading) was approximately Normal with mean of 1011 and standard deviation of 214.

What proportion of SAT scores for the combined portions were reported as 1600? That is, what proportion of SAT scores were actually higher than 1600?(Enter an answer rounded to four decimal places.)

check_circleAnswer
Step 1

Define the random variable X as SAT scores.

z-score:

The formula for finding the z-score is given as follows:

х — и
Z =
о
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х — и Z = о

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Step 2

The SAT scores higher than 1,600 is denoted as x>1,600.

Subtract the mean and then divide by the st...

x-1,011,600 -1,011
214
214
z >2.75
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x-1,011,600 -1,011 214 214 z >2.75

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Measures

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