A large number of MBA applicants are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What is the probability a randomly chosen applicant scores 600 or above in this test? a. 0.5401 b. 0.0401 c. 0.4599 d. 0.0852
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A large number of MBA applicants are given an aptitude test. Scores are
0.5401
0.0401
0.4599
0.0852
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- Suppose that Bloomsburg University graduate starting salaries are normally distributed with a mean of $40,712 and a standard deviation of $12,570. What is the probability that a randomly selected graduate's starting salary is below $48,000? 0.848 0.000 0.719 0.281Suppose that SAT scores among U.S. college students are normally distributed with a mean of 500 and a standard deviation of 100. What is the probability that a randomly selected individual from this population has an SAT score between 500 and 600? 0.1587 0.3173 0.4207 0.3413IQ is normally distributed with a mean of 100 and a standard deviation of 16. A local school is considering what its minimum IQ score should be for admission. What should the minimum IQ score be so that only 10% of all students in the area can qualify for admission? Round your answers to whole numbers.
- The time taken to complete a bicycle race is normally distributed, with anaverage time (μ) of 2.25 hours and a standard deviation (σ) of 0.65 hours.What is the probability that a randomly selected cyclist will: Q.7.3.1 Take between 2.75 and 3.15 hours to complete the race? Interpretyour answer. Q.7.3.2 Take between 2.05 and 2.15 hours to complete the race? Interpretyour answer.Suppose that the dividends of dividend-paying stocks are normally distributed with a mean of 3.86% (as a percentage of the share price) and a standard deviation of 1.25%. In a sample of 55 dividend-paying stocks, what is the probability that the average dividend will be 3.70% or more? (please round your answer to 4 decimal places)Suppose that a particular large hotel has 790 rooms. Furthermore, suppose that for weekend nights the mean demand for rooms is 730 rooms with a standard deviation of 35 rooms. What is the probability that over a sample of 35 weekend nights, the hotel will sell at least an average of 740 rooms over this sample? (please round your answer to 4 decimal places).
- Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 5.9. A university plans to award scholarships to students whose scores are in the top 9%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.Home prices in a particular neighborhood average $350k with a standard deviation of $30k. They are not Normally distributed. Your realtor pulls a random sample of 30 houses for you to look at. What is the probability that the average price of these 30 houses is more than $345k? (Please round your answer to 3 decimal places: ex, 0.123)According to a 2017 Wired magazine article, 40% of e-mails that are received are tracked using software that can tell the e-mail sender when, where, and on what type of device the e-mail was opened (Wired magazine website). Suppose we randomly select 50 received e-mails. a. What is the expected number of these e-mails that are tracked? b. What are the variance (to the nearest whole number) and standard deviation (to 3 decimals) for the number of these e-mails that are tracked? Variance Standard deviation
- An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 364 watts with a standard deviation of 12 watts. What is the probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers if the claim is true? Round your answer to four decimal places.Consider a very large number of students taking a college entrance exam such as the SAT. And suppose the mean score on the mathematics section of the SAT is 570 with a standard deviation of 40.a. Find the z-score for a student who scored 600.b. A student is told that his z-score on this test is -1.5. What was his actual SAT math score?If the economy booms, Meyer&Co. stock will have a return of 20.8 percent. If the economy goes into a recession, the stock will have a loss of 13.1 percent. The probability of a boom is 63 percent while the probability of a recession is 37 percent. What is the standard deviation of the returns on the stock? 9.29% 12.43% 13.56% 14.61% 14.61%