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 1.26 problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. Complete (a) and (b) below.

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 :___ (Round to four decimal places as needed.)

b. 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 :___ (Round to four decimal places as needed.)

Explanation / Answer

Solution:-

The average number of problems per car = = 1.26

a) The probability that the new model A car will have zero problems is

x = 0

By applying poisons ditribution:-

P(x; ) = (e-) (x) / x!

P(x = 0) = 0.2837

b) The probability that a new model A car will have two or fewer problems is 0.866.

x = 2

By applying poisons ditribution:-

P(x; ) = (e-) (x) / x!

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x < 2) = 0.866

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.