The new Volvo XC90 Twin-Engine Plug-in Hybrid has a self-programmable

The new Volvo XC90 Twin-Engine Plug-in Hybrid has a self-programmable mode with four different powertrain settings, three settings for the air suspension, three for the steering, three for the instrument display, two for the brakes, and two for the climate control. (a) How many differently set cars are possible? (b) Suppose one owner finds that […]

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Ideally, auto insurance rates are lower for good drivers than

Ideally, auto insurance rates are lower for good drivers than for bad drivers, but an insurer needs to be able to tell which type of driver a client is. Assume that all drivers are considered as either “good drivers” or “bad drivers” and that the probability of a random driver being a “good driver” is […]

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The most common HIV test is the Enzyme Immunoassay (EIA)

The most common HIV test is the Enzyme Immunoassay (EIA) Test. When a subject’s HIV condition is known, the following probabilities about the EIA test are known. Pr(Test(+) I HIV(+)) = 0.9985 Pr(Test(-) I HIV(-)) = 0.994 (a) Find Pr(Test(-) I HIV(+)), the probability of a false negative. (b) Find Pr(Test(+) I HIV(-)), the probability […]

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A publishing company has determined that a new edition of

A publishing company has determined that a new edition of an existing mathematics textbook will be readopted by 80% of its current users and will be adopted by 7% of the users of other texts if the text is not changed radically. To determine whether it should change the book radically to attract more sales, […]

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Garage door openers have 10 on-off switches on the opener

Garage door openers have 10 on-off switches on the opener in the garage and on the remote control used to open the door. The door opens when the remote control is pressed and all the switches on both the opener and the remote agree. (a) How many different sequences of the on-off switches are possible […]

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In an actual case,* probability was used to convict a

In an actual case,* probability was used to convict a couple of mugging an elderly woman. Shortly after the mugging, a young White woman with blonde hair worn in a ponytail was seen running from the scene of the crime and entering a yellow car that was driven by a Black man with a beard. […]

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Would the probabilities for which car he drives 100 days

Would the probabilities for which car he drives 100 days from now depend on whether he drove a Ford or an Audi today? Use the following information for Problems. A man owns an Audi, a Ford, and a VW. He drives every day and never drives the same car two days in a row. These […]

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A certain make of car comes with either an automatic

A certain make of car comes with either an automatic or manual transmission and in one of three styles: convertible, sedan, or SUV. The following table shows the probability of each possible style and transmission. (a) Find the probability that a car is an automatic. (b) Find the probability that a car is an automatic […]

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The NAACP claimed that in Volusia County, Florida, police stopped

The NAACP claimed that in Volusia County, Florida, police stopped dark-skinned drivers on I-95 who were not violating the law much more frequently than they stopped White drivers and then conducted searches of the cars for drugs or large sums of money that could be related to drug sales. If police made routine stops of […]

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The Pennsylvania Daily Number is a three-digit number game that

The Pennsylvania Daily Number is a three-digit number game that costs $1 per “number” and has a winning ticket payoff of $500. On April 24, 1980, the winning number was 666. Several weeks later it was discovered that the April 24 drawing had been fixed. Exposure of the scandal revealed that all balls except those […]

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