Chapter 1. Discrete Probability Models

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Questions 1-2

1:41

Question 1.1

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Correct. Variables like height and weight are not discrete. People typically round their actual weight (which can be measured in pounds, ounces, and fractions of ounces – whatever the accuracy of your scale is) to the nearest 5 or 10 pounds.
Incorrect. Variables like height and weight are not discrete. People typically round their actual weight (which can be measured in pounds, ounces, and fractions of ounces – whatever the accuracy of your scale is) to the nearest 5 or 10 pounds.
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Question 1.2

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Correct. The number of stars visible at 10 pm next Friday is discrete. No one knows how many total stars there are (the astronomer Carl Sagan used to talk about “billions upon billions”) but each number from 0 (it’s totally cloudy and none are visible) to those billions is possible and could (if we wanted to) have a probability attached to it.
Incorrect. The number of stars visible at 10 pm next Friday is discrete. No one knows how many total stars there are (the astronomer Carl Sagan used to talk about “billions upon billions”) but each number from 0 (it’s totally cloudy and none are visible) to those billions is possible and could (if we wanted to) have a probability attached to it.
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Questions 3-5

4:38

Question 1.3

Motor Vehicles table image
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Correct. The probability of owning at least three (3 or more) vehicles is 0.28 + 0.09 + 0.05
Incorrect. The probability of owning at least three (3 or more) vehicles is 0.28 + 0.09 + 0.05
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Question 1.4

Motor Vehicles table image
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Correct. The probability of owning more than three (either 4 or 5) vehicles is 0.09 + 0.05.
Incorrect. The probability of owning more than three (either 4 or 5) vehicles is 0.09 + 0.05.
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Question 1.5

Motor Vehicles table image
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Correct. Using the shortcut, P(at least 1 vehicle) = 1 – P(0 vehicles) = 1 – 0.08.
Incorrect. Using the shortcut, P(at least 1 vehicle) = 1 – P(0 vehicles) = 1 – 0.08.
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