✓ 12.6 4. A car salesman averages 2.75 sales per day (H = 2.75). Use the Poisson distribution to
find the probability that in a randomly selected day the number of cars sold is more than
one (P(x > 1)).

0.76027

Explanation:

Poisson distribution :

P(x) = (λ^x * e^-λ) ÷ x!

Average sales per day = 2.75 = λ

Using the poisson probability calculator ; the probability that the number of cars sold on a randomly selected day is greater than 1 is 0.76027.

This shows that the number of Times s the car dealer is likely to sell more than one car a day within a specified period of time is 0.76027 * 100 = 76.02 ( about 76%)

P(x > 1) = 0.76027