Homework: Lesson 5, Section 5.2 Homework Score: 0 of 1 pt 5.2.17 Save 7018(O com
ID: 3364175 • Letter: H
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Homework: Lesson 5, Section 5.2 Homework Score: 0 of 1 pt 5.2.17 Save 7018(O complete) le Hw Score: 0%, 0 of 8 pts My C Question Help * I reading scores for which the mean is 504 and the standard deviation is 118. Assume the variable x is normally distributed Use the Home Quizz Study Grade StatC Chapt Tools (a) What percent of the SAT verbal scores are less than 650? (b Ir 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 5757 (a) Approximately % of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Purch Pears Enter your answer in the answer box and then click Check Answer Cours 1 Pemaining Clear All Check Answer Syllabus 19Explanation / Answer
Mean = 504
Standard deviation = 118
P(X < A) = P(Z < (A - mean)/standard deviation)
a) P(X < 650) = P(Z < (650 - 504)/118)
= P(Z < 1.24)
= 0.8925
= 89.25%
b) P(X > 575) = 1 - P(X < 575)
= 1 - P(Z < (575 - 504)/118)
= 1 - P(Z < 0.60)
= 1 - 0.7257
= 0.2743
Number of scores greater than 575 = 1000x2743
= 274
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