Question

A survey of drivers in the United States found that 15% never use a cell phone while driving. Suppose that drivers arrive at random at an auto inspection station.

If the inspector checks 10 drivers, what is the probability that at least one driver never uses a cell phone while driving? (Round your answer to the hundredth.)

Suppose the inspector checks 1000 drivers. Use the normal approximation to the binomial distribution to find the approximate probability that at least 13% of these drivers never use a cell phone while driving. (Express your answer with 4 decimal places.)

If the drivers are inspected sequentially as they arrive randomly at the inspection station, what is the probability that the first driver who uses a cell phone while driving is the third driver checked? (Express your answer with 4 decimal places.)

What is the expected number of drivers who must be checked to find the first who never uses a cell phone while driving? (Round to the nearest whole number.)

What is the expected number of drivers who must be checked to find the first driver who uses a cell phone while driving? (Round to the nearest whole number.)

If it costs $5 to question each driver, what is the expected cost and standard deviation of questioning up to and including the first driver who uses a cell phone while driving?

Expected Cost:

Standard deviation:

Answer #1

A survey of adults found that 56% of those who text on a cell
phone receive unwanted spam and messages. You randomly pick 100
adults who text on a cell phone. Find the probability that the
number of people who received spam and unwanted messages is exactly
60.

Consider the following information about travelers on vacation: 40%
check work email, 30% use a cell phone to stay connected to work,
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It is reported that 25% of American households use a cell phone
exclusively for their telephone service. In a sample of twelve
households, find the probability that:
a.
No household uses a cell phone as their exclusive telephone
service. (Round your answer to 4 decimal
places.)
Probability
b.
Exactly 6 households exclusively use a cell phone for telephone
service. (Round your answer to 4 decimal
places.)
Probability
c.
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Several states are considering legislation that would limit the
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University of Utah investigated whether cell phone use impairs
drivers’ reaction times. Sixty-four randomly selected students were
divided evenly into a treatment group and a control group.
Participants were instructed to press a break button on a driving
simulator when a red light flashed. The control, or ” no phone”,
group listened to the radio while they performed the...

The authors of a paper describe an experiment to evaluate the
effect of using a cell phone on reaction time. Subjects were asked
to perform a simulated driving task while talking on a cell phone.
While performing this task, occasional red and green lights flashed
on the computer screen. If a green light flashed, subjects were to
continue driving, but if a red light flashed, subjects were to
brake as quickly as possible. The reaction time (in msec) was
recorded....

Federal law under Title 49 of the United States Code, Chapter
301, Motor Vehicle Safety Standard took effect on January 1, 1968
and required all vehicles (except buses) to be fitted with seat
belts in all designated seating positions. While most states have
laws requiring seat belt use today, some people still do not
“buckle up.” Let’s assume that 90 % of drivers do “buckle up.” If
drivers are randomly stopped to check seat belt usage, answer the
following questions...

Solve using R:
Federal law under Title 49 of the United States Code, Chapter
301, Motor Vehicle Safety Standard took effect on January 1, 1968
and required all vehicles (except buses) to be fitted with seat
belts in all designated seating positions. While most states have
laws requiring seat belt use today, some people still do not
“buckle up.” Let’s assume that 90 % of drivers do “buckle up.” If
drivers are randomly stopped to check seat belt usage, answer...

1. When constructing a confidence interval to estimate a
population proportion, what affects the size of the margin of
error?
A. The sample size
B. The sample proportion
C. The confidence level
D. All of the above affect the size of the margin of error
E. None of the above affect the size of the margin of error
2. What percentage of couples meet through online dating
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Some people believe that higher-octane fuels result in better
gas mileage for their car. To test this claim, a researcher
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gas was recorded. A coin flip was used to determine whether the car
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UPS COMPETES GLOBALLY WITH INFORMATION
TECHNOLOGY
United Parcel Service (UPS) started out in 1907 in a
closet-sized basement office. Jim
Casey and Claude Ryan—two teenagers from Seattle with two bicycles
and one
phone—promised the “best service and lowest rates.” UPS has used
this formula successfully for
more than a century to become the world’s largest ground and air
package-delivery company.
It’s a global enterprise with nearly 400,000 employees, 96,000
vehicles, and the world’s ninth
largest airline.
Today UPS delivers 16.3...

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