A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one year, Car A had

1.26

problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. Complete parts (a) through (d).

a. What assumptions must be made in order for X to be distributed as a Poisson random variable?

Select all the assumptions for a Poisson distribution.

A.

The probability of a problem in a time period approaches zero as the length of the time period becomes smaller.

B.

The probability of a problem is the same for each period of time.

C.

At least 30 model A cars are sold.

D.

The number of problems in a given period is independent of the number of problems in any other period.

Part 2

b. Making the assumptions as in (a), if you purchased a model A car, what is the probability that the new car will have zero problems?

The probability that the new model A car will have zero problems is enter your response here.

(Round to four decimal places as needed.)

Part 3

c. Making the assumptions as in (a), if you purchased a model A car, what is the probability that the new car will have two or fewer problems?

The probability that a new model A car will have two or fewer problems is
enter your response here.

(Round to four decimal places as needed.)

Part 4

d.Give an operational definition for "problem."

A.

A problem is when a vehicle has a complete break down or malfunction, or when controls or features are difficult to use or understand.

B.

A problem is when an owner files a complaint or becomes dissatisfied with a vehicle's performance, usability, or reliability.

C.

A problem is when a vehicle gets into a traffic violation, an accident, or an owner is injured while driving the vehicle.

D.

A problem is when parts of the vehicle wear out or break sooner than anticipated, or the vehicle requires more maintenance than expected for its age.

Part 5

Why is the operational definition important in interpreting the initial quality score?

A.

The operational definition determines if the initial quality score is significant or not.

B.

The operational definition helps owners learn of what kinds of problems their car has.

C.

The operational definition helps manufacturers learn what cars to stop making.

D.

The operational definition determines what incidents the initial quality score describes.

Question

A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one year, Car A had

1.26

problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. Complete parts (a) through (d).

a. What assumptions must be made in order for X to be distributed as a Poisson random variable?

Select all the assumptions for a Poisson distribution.

A.

The probability of a problem in a time period approaches zero as the length of the time period becomes smaller.

B.

The probability of a problem is the same for each period of time.

C.

At least 30 model A cars are sold.

D.

The number of problems in a given period is independent of the number of problems in any other period.

Part 2

b. Making the assumptions as in (a), if you purchased a model A car, what is the probability that the new car will have zero problems?

The probability that the new model A car will have zero problems is enter your response here.

(Round to four decimal places as needed.)

Part 3

c. Making the assumptions as in (a), if you purchased a model A car, what is the probability that the new car will have two or fewer problems?

The probability that a new model A car will have two or fewer problems is

enter your response here.

(Round to four decimal places as needed.)

Part 4

d.Give an operational definition for "problem."

A.

A problem is when a vehicle has a complete break down or malfunction, or when controls or features are difficult to use or understand.

B.

A problem is when an owner files a complaint or becomes dissatisfied with a vehicle's performance, usability, or reliability.

C.

A problem is when a vehicle gets into a traffic violation, an accident, or an owner is injured while driving the vehicle.

D.

A problem is when parts of the vehicle wear out or break sooner than anticipated, or the vehicle requires more maintenance than expected for its age.

Part 5

Why is the operational definition important in interpreting the initial quality score?

A.

The operational definition determines if the initial quality score is significant or not.

B.

The operational definition helps owners learn of what kinds of problems their car has.

C.

The operational definition helps manufacturers learn what cars to stop making.

D.

The operational definition determines what incidents the initial quality score describes.

Accepted Answer

Dear student according to the guidelines we solve only first three subparts.
Given the random…

A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one​ year, Car A had 1.26 problems per car. Let the random variable X be equal to the number of problems with a

Part 2

Part 3

Part 4

Part 5

A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one year, Car A had 1.26 problems per car. Let the random variable X be equal to the number of problems with a