A company publishes statistics concerning car quality The in

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 1.491.49 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.)

Solution

Possion Distribution
PMF of P.D is = f ( k ) = e- x / x!
Where   
= parameter of the distribution.
x = is the number of independent trials
P( X = 0 ) = e ^-1.49 * 1.49^0 / 0! = 0.2254