Question

In a certain year, 44.7% of all light vehicles were cars, and the rest were pickups or SUVs. The probability that a severe side-impact crash would prove deadly to a driver depended on the type of vehicle he or she was driving at the time, as shown in the table. What is the probability that the victim of a deadly side-impact accident was driving a car? (Round your answer to four decimal places.)

Car | 1.0 |
---|---|

Light Truck or SUV | .2 |

Answer #1

Suppose that in a year, 10% of all light vehicles (SUVs,
pickups, passenger cars, and minivans) sold in the United States
were pickups and 30% were passenger cars. Moreover, a randomly
chosen vehicle sold that year was twice as likely to be an SUV as a
minivan. Find the associated probability distribution.
Outcome
SUVs
pickups
passenger
cars
minivans
Probability

1.Use Bayes' theorem or a tree diagram to calculate the
indicated probability. Round your answer to four decimal places.
HINT [See Example 3.] P(A | B) = .4, P(B) = .1, P(A | B') = .6.
Find P(B | A).
2.Use Bayes' theorem or a tree diagram to calculate the
indicated probability. Round your answer to four decimal places.
HINT [See Example 3.]
P(X | Y) = 0.6, P(Y' ) = 0.7, P(X | Y' ) = 0.1. Find P(Y...

A highway safety institution conducts experiments in which cars
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made of aluminum honeycomb, which makes the forces in the test
similar to those involved in a frontal offset crash between two
vehicles of the same weight, each going just less than 40 mph. You
are...

A highway safety institution conducts experiments in which cars
are crashed into a fixed barrier at 40 mph. In the institute's
40-mph offset test, 40% of the total width of each vehicle strikes
a barrier on the driver's side. The barrier's deformable face is
made of aluminum honeycomb, which makes the forces in the test
similar to those involved in a frontal offset crash between two
vehicles of the same weight, each going just less than 40 mph. You
are...

1. Is NASCARs main goal to maximize profits? If not, what is
their major goal? Is there a tradeoff involved here?
2. Is the motivation for the actions described in the NYT
article (safety changes, blackbox data collection) connected to
their goal? Explain.
3. If people tune in to see crashes (Nascar fans love crashes
the way hockey fans love fights; when you watch the Speed Channel's
edited replays of Nascar races, the plot is always the same: green
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INNOVATION
Deep Change: How Operational Innovation Can Transform Your
Company
by
Michael Hammer
From the April 2004 Issue
Save
Share
8.95
In 1991, Progressive Insurance, an automobile insurer based in
Mayfield Village, Ohio, had approximately $1.3 billion in sales. By
2002, that figure had grown to $9.5 billion. What fashionable
strategies did Progressive employ to achieve sevenfold growth in
just over a decade? Was it positioned in a high-growth industry?
Hardly. Auto insurance is a mature, 100-year-old industry...

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