A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 88 jobs and a standard deviation of 5. Where do we expect approximately 95% of the distribution to fall? between 73 and 103 jobs per day between 98 and 103 jobs per day between 78 and 98 jobs per day between 83 and 93 jobs per day
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- Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. The amount of beer in a bottle is normally distributed with a standard deviation of 2.9 ml. 21 What is the probability that a randomly selected 6-pack of beer will have a mean amount in 6 bottles less than 328ml? a 0.0292 b 0.0365 c 0.0456 d 0.0570The 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 commute times in a large city are normally distributed and that 65.20% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.5 minutes, what is the mean commute?
- 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.Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?GIL internet services record customer usage patterns. Historically they have found the duration of an internet session is normally distributed with an average duration of 77.5 minutes and a standard deviation of 20.6 minutes. What is the probability a randomly selected session would last longer than two hours or less than thirty-five minutes? (4 decimal places)
- Times for a surgical procedure are normally distributed. There are two methods.Method A has a mean of 28 minutes and a standard deviation of 6 minutes, whilemethod B has a mean of 32 minutes and a standard deviation of 4 minutes. (a)Which procedure is preferred if the procedure must be completed within 28minutes? (b) Thirty-eight minutes? (c) Thirty-six minutes? Explain your reasoningfully.Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $4,256 per hour and a standard deviation of $242. Use Appendix B.3. What is the operating cost for the lowest 4% of the airplanes? (Round your z value to 2 decimal places and final answer to the nearest whole dollar Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sureA 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