A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips?
A)0.4401
B)0.9658
C)0.3569
D)0.5469

Question

Quizplus · Accepted Answer

The probability that a randomly selected cookie will contain two or more chocolate chips can be found by subtracting the probability of finding 0 or 1 chocolate chips from 1, since the Poisson distribution's probabilities sum to 1. The formula for the Poisson probability is P(X=k) = (λ^k * e^(-λ)) / k!, where λ is the average rate (5.2 in this case), k is the number of occurrences (0 or 1), and e is the base of the natural logarithm. Calculating P(X=0) and P(X=1) and subtracting their sum from 1 gives the probability of having two or more chocolate chips.

A Company That Bakes Chocolate Chip Cookies Averages 5