Quiz Chapter 7.docx - Question 1 2.5 2.5 points The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes

Quiz Chapter 7.docx - Question 1 2.5 2.5 points The time to...

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Question 1 2.5 / 2.5 points The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the distribution's mean? 135 minutes Hide Feedback The mean of a uniform distribution is the center of the interval between the minimum and maximum values. In this case, it is 135 minutes, found by (120 + 150)/2. Question 2 2.5 / 2.5 points The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the distribution's standard deviation? 8.66 minutes Hide Feedback In the uniform distribution, the standard deviation is related to the interval between the maximum and minimum values. In this case, it is 8.66 minutes, found by determining the square root of (150 - 120) 2 /12. Question 3 2.5 / 2.5 points The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is less than 135 minutes? 0.50 Hide Feedback The probability is computed as the area under the curve. For a uniform distribution, it is the area of a defined rectangle. In this case, the base is (135 - 120) and the height is (1/(150 - 120), or (135 - 120) * (1/(150 - 120))) = 15/30 = 0.5. Question 4 2.5 / 2.5 points For a standard normal distribution, what is the probability that z is greater than 1.75? 0.0401 Hide Feedback The probability that z is greater than 1.75 is 0.0401, found by 0.5000 - 0.4599. Recall half the area, or probability, is above the mean, and half is below. Using the standard normal probability distribution table, the area under the normal curve between 0 and 1.75 is 0.4599. Question 5 2.5 / 2.5 points What is the area under the normal curve between z = 0.0 and z = 1.79?
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0.4633 Hide Feedback Using the "areas under the normal curve" table, the area under the normal curve between 0 and 1.79 is 0.4633. Question 6 2.5 / 2.5 points What is the area under the normal curve between z = -1.0 and z = -2.0? 0.1359 Hide Feedback Because the normal distribution is symmetric, the area between 0 and a negative z value is the same as that between 0 and the corresponding positive z value. Using the "areas under the normal curve" table, the area under the normal curve between the mean and z = -1.0 is .3413, and between the mean and z = -2.0 is 0.4772.
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