Test: Comprehensive Final Exam 19 of 19 This Question: 1 pt Use the normal distr

Question

Test: Comprehensive Final Exam 19 of 19 This Question: 1 pt Use the normal distribution of SAT critical reading scores for which the mean is 503 and the standard deviation is 105. Assume the variable x is normally distributed (a) What percent of the SAT verbal scores are less than 6507 (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? (a) Approximately 1% of the SAT verbal scores are less than 650 (Round to two decimal places as needed.) (t) You would expect that approximately SAT verbal scores would be greater than 575 Round to the nearest whole number as needed Enter your answer in each of the answer boxes

Explanation / Answer

Mean = 503

Sd = 105

A) P(X < 650) = P(Z < (650 - 503) / 105)

= P(Z < 1.4)

= 0.9192

= 91.92%

B) P(X > 575) = P(Z > (575 - 503)/105)

= P(Z > 0.69)

= 1 - P(Z < 0.69)

= 1 - 0.7549

= 0.2451

Expected value = 1000 * 0.2451 = 245.1 = 245

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