A company publishes statistics concerning car quality. The initial quality score

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 1.251.25 problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. 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 number of problems in a given period is independent of the number of problems in any other period.

B. At least 30 model A cars are sold.

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

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

Explanation / Answer

the options or assumptions to be made are

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

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

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

second option doesnt have anything to do with poisson distribution.because X takes the values of the number of problems of the newly purchased car.not the number of cars purchased

and fourth option is also very much correct probability of sucess ina small intervval of time is very small.

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