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 1002 and standard deviation of 216. 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.)

proportion above 1600=

Answer 1

it is given that mean = 1002 and standard deviation = 216

we have to find probability for SAT score higher than 1600

setting the values, we get

using z distribution table, find 2.7 in the left most column and 0.07 in the top most row, then select the intersecting cell to get the value

So, required proportion is 0.0028