1. A survey magazine subscribers showed that 45.8% rented a car during the past 12 months forbusiness reasons, 54% rented a car during the past 12 months for personal reasons, and 30%rented a car during the past 12 months for both business and personal reasons.(a) What is the probability that a subscriber rented a car during the past 12 months forbusiness or personal reasons?(a) 69.8%(b) What is the probability that a subscriber did not rent a car during the past 12 months foreither business or personal reasons?(b) 30.2%

Let the event of renting a car for business reasons be A and for personal reasons be B.Given…

Answered: 1. A survey magazine subscribers showed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 9 or more are serving time for drug dealing? (Round your answer to three decimal places.)(b) What is the probability that 3 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)(c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)
(a) 13% of customers at the snack counter of a movie theater buy soft drinks. 42% also purchase popcorn. Among those who buy soft drinks, (i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? (ii) If the proportion of customer who buys popcorn is 57% . Then find the probability that a customer will buy a popcorn or a soft drink?
According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 8 or more are serving time for drug dealing? (Round your answer to three decimal places.) (b) What is the probability that 3 or fewer are serving time for drug dealing? (Round your answer to three decimal places.) (c) What is the expected number of inmates serving time for drug dealing?
4. Last semester 80% of MTH 225 students were in good standing heading into the final exam (i.e. current grade % was at least 70%). 85% of the students in good standing heading into the final exam scored 65% or better on the final (i.e. passed). Only 10% of students not in good standing scored passed the final exam. (a) What is the probability a randomly selected student passed the final exam? (b) Given that a student passed the final exam, what is the probability the student was in good standing heading into the final exam?
1. (a) In a population, 4% of the women are pregnant. A particular home pregnancy test comes back positive for a pregnant woman 95% of the time. However, this test comes back positive even though the woman is not pregnant 5% of the time. i. A woman who is not pregnant takes the test. What is the probability that the test will come back negative? ii. What is the probability that a randomly selected woman tests positive for pregnancy? iii. What is the probability that a randomly selected woman who tested pos- itive for pregnancy is actually pregnant?
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2) A public health organization reports that 40%of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 10 babies is studied. Round the answers to three decimal places. (a) What is the probability that exactly 4 of them weigh more than 20 pounds? (b) What is the probability that more than 4 weigh more than 20 pounds? (c) What is the probability that fewer than 3 weigh more than 20 pounds? (d) Would it be unusual if more than 7 of them weigh more than 20 pounds?
According to Harper's Index, 45% of all federal inmates are serving time for drug dealing. A random sample of 20 federal inmates is selected. (a) What is the probability that 12 or more are serving time for drug dealing? (Round your answer to three decimal places.)(b) What is the probability that 4 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)(c) What is the expected number of inmates serving time for drug dealing?
According to Harper's Index, 60% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 8 or more are serving time for drug dealing? (Round your answer to three decimal places.) (b) What is the probability that 7 or fewer are serving time for drug dealing? (Round your answer to three decimal places.) (c) What is the expected number of inmates serving time for drug dealing?
Coronary bypass surgery: A healthcare agency reported that 54% of people who had coronary bypass surgery in 2008 were over the age of 65. Sixteen coronary bypass patients are sampled. (a)What is the probability that exactly 10 of them are over the age of 65? (b)What is the probability that more than 11 are over the age of 65? (c)What is the probability that fewer than 7 are over the age of 65? (d)Would it be unusual if all of them were over the age of 65? Use a cutoff of 0.05. Thank you!
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received six calls. (a) What is the probability that all six calls are, in fact, emergencies? (Round your answer to five decimal places.)(b) What is the probability that five or more calls are not emergencies? (Round your answer to five decimal places.)(c) What is the smallest number of calls that the 911 operators need to answer to be at least 96% (or more) sure that at least one call is, in fact, an emergency? (Enter your answer as a whole number.) calls

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