MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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18) The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the variance of waiting time is 9. Find the probability that a person will wait for more than 2 minutes . Round your answer to four decimal places the waiting time
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- The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean lifetime of a bulb is 540 hours. Find the probability of a bulb lasting for between 532 and 571 hours. Round your answer to four decimal places.arrow_forwardThe time spent waiting in the line is approximately normally distributed. The mean waiting time is 4 minutes and the variance of the waiting time is 9. Find the probability that a person will wait for less than 7 minutes. Round your answer to four decimal places.arrow_forwardThe time spent waiting in the line is approximately normally distributed. The mean waiting time is 4 minutes and the variance of the waiting time is 1. Find the probability that a person will wait for more than 5 minutes. Round your answer to four decimal places.arrow_forward
- A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?arrow_forwardYoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let x¯x¯ be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. What causes the probabilities in Exercise 7.3 and Exercise 7.4 to be different?arrow_forwardthe statistic X defined as X = 49S 2arrow_forward
- Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the employees. From past experience, she has found that the reviews take her approximately 4 hours each to do with a population standard deviation of 1.1 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X¯¯¯ be the random variable representing the mean time to complete the 10 reviews. Assume that the 10 reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean = Standard Deviation = Sample Size = (b) Complete the distributions. Round all decimals to four decimal places. X∼ ( Number, Number) X¯¯¯∼ ( Number, Number)arrow_forwardThe life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal placesarrow_forwardThe mean points obtained in an aptitude examination is 111 points with a variance of 400. What is the probability that the mean of the sample would be greater than 113.1 points if 79 exams are sampled? Round your answer to four decimal places.arrow_forward
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