Chapter 4: Q5 (page 178)
Subjective Probability Estimate the probability that the next time you ride in a car, the car gets a flat tire.
The estimated probability value that the car gets a flat tire the next time you ride in it is equal to 0.001.
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In Exercises 9–20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.
McDonald’s | Burger King | Wendy’s | Taco Bell | |
Order Accurate | 329 | 264 | 249 | 145 |
OrderNotAccurate | 33 | 54 | 31 | 13 |
Fast Food Drive-Thru Accuracy If three different orders are selected, find the probability that they are all from Wendy’s
Redundancy. Exercises 25 and 26 involve redundancy.
Redundancy in Hospital Generators Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 22% of the times when they are needed (based on data from Arshad Mansoor, senior vice president with the Electric Power Research Institute). A hospital has two backup generators so that power is available if one of them fails during a power outage.
a. Find the probability that both generators fail during a power outage.
b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital?
In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.
Testing If you make a random guess for the answer to a true/false test question, there is a 50–50 chance of being correct.
In Exercises 21–24, use these results from the “1-Panel-THC” test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false negative results. (Hint: Construct a table similar to Table 4-1, which is included with the Chapter Problem.)
Testing for Marijuana: Use If one of the test subjects is randomly selected, find the probability that the subject did not use marijuana. Do you think that the result reflects the general population rate of subjects who do not use marijuana?
In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.
Sleepwalking Based on a report in Neurology magazine, 29.2% of survey respondents have sleepwalked.
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