A computer salesman averages 1.9 sales per week.Use the Poisson distribution to find the probability that in a randomly selected week the number of computers sold is 1.
A)0.2842
B)0.3552
C)0.7158
D)0.3126
E)0.5399

Question

Quizplus · Accepted Answer

The Poisson distribution formula for the probability of observing k events in a given interval is P(k; λ) = (e^(-λ) * λ^k) / k!, where λ is the average number of events (1.9 in this case), and k is the number of events for which we want to find the probability (1 sale). Plugging the values into the formula gives P(1; 1.9) = (e^(-1.9) * 1.9^1) / 1! = 0.2842.

A Computer Salesman Averages 1