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56) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.) (A) 0.10 (B) 0.18 (C) 0.50 (D) 0.82 (E) 0.90

56) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.) (A) 0.10 (B) 0.18 (C) 0.50 (D) 0.82 (E) 0.90

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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56) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.) (A) 0.10 (B) 0.18 (C) 0.50 (D) 0.82 (E) 0.90 Questions 57 and 58 – Use the Empirical Rule: A population of bolts has a mean thickness of 20 millimeters, with a population standard deviation of 0.01 millimeters. 57) Give, in millimeters, a minimum and maximum thickness that includes 68% of the population of bolts. (A) 20.00 to 20.02 millimeters (B) 19.00 to 21.00 millimeters (C) 19.98 to 20.02 millimeters (D) 19.99 to 20.01 millimeters (E) 19.97 to 20.03 millimeters 58) Give, in millimeters, a minimum and a maximum thickness that will include 95% of the population of bolts. (A) 19.98 to 20.02 millimeters (B) 19.99 to 20.01 millimeters (C) 19.97 to 20.03 millimeters (D) 19.8 to 20.2 millimeters (E) These can't be accurately computed. 59) The SAT math scores for applicants to a particular engineering school are normally distributed with a mean of 680 and a standard deviation of 35. Suppose that only applicants with scores above 700 are considered for admission, What percentage of the applicants considered have scores below 750? (A) 2.3 percent (B) 26.1 percent (C) 71.6 percent (D) 92.0 percent (E) 97.7 percent 60) Given two events, E and F, such that and, then the two events are: (A) independent and mutually exclusive. (B) independent, but not mutually exclusive. (C) mutually exclusive, but not independent. (D) neither independent nor mutually exclusive. (E) there is not enough information to answer the question. 61) The number of hybrid cars a dealer sells weekly has the following probability distribution: Number of hybrids Probability 3 L11 4 .08 5 |32 2 |.15 .28 .06 The dealer purchases the cars for $21,000 and sells them for $24,500. What is the expected weekly profit from selling hybrid cars? (A) S2,380 (B) S3,500 (C) $5.355 (D) S8,109 (E) S37,485
Transcribed Image Text:56) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.) (A) 0.10 (B) 0.18 (C) 0.50 (D) 0.82 (E) 0.90 Questions 57 and 58 – Use the Empirical Rule: A population of bolts has a mean thickness of 20 millimeters, with a population standard deviation of 0.01 millimeters. 57) Give, in millimeters, a minimum and maximum thickness that includes 68% of the population of bolts. (A) 20.00 to 20.02 millimeters (B) 19.00 to 21.00 millimeters (C) 19.98 to 20.02 millimeters (D) 19.99 to 20.01 millimeters (E) 19.97 to 20.03 millimeters 58) Give, in millimeters, a minimum and a maximum thickness that will include 95% of the population of bolts. (A) 19.98 to 20.02 millimeters (B) 19.99 to 20.01 millimeters (C) 19.97 to 20.03 millimeters (D) 19.8 to 20.2 millimeters (E) These can't be accurately computed. 59) The SAT math scores for applicants to a particular engineering school are normally distributed with a mean of 680 and a standard deviation of 35. Suppose that only applicants with scores above 700 are considered for admission, What percentage of the applicants considered have scores below 750? (A) 2.3 percent (B) 26.1 percent (C) 71.6 percent (D) 92.0 percent (E) 97.7 percent 60) Given two events, E and F, such that and, then the two events are: (A) independent and mutually exclusive. (B) independent, but not mutually exclusive. (C) mutually exclusive, but not independent. (D) neither independent nor mutually exclusive. (E) there is not enough information to answer the question. 61) The number of hybrid cars a dealer sells weekly has the following probability distribution: Number of hybrids Probability 3 L11 4 .08 5 |32 2 |.15 .28 .06 The dealer purchases the cars for $21,000 and sells them for $24,500. What is the expected weekly profit from selling hybrid cars? (A) S2,380 (B) S3,500 (C) $5.355 (D) S8,109 (E) S37,485
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