Question

A well-mixed cookie dough will produce cookies with a mean of 8 chocolate chips apiece. What is the probability of getting a cookie with no more than 3 chips

Answer 1

The probability of getting a cookie with no more than 3 chips is 0.0424.

Explanation:

Let X number of chocolate chips apiece of cookie.

The mean number of chocolate chips apiece is λ = 8.

The random variable X follows a Poisson distribution with parameter λ = 8.

Compute the probability of getting a cookie with no more than 3 chips as follows:

`P(X\leq 3)=\sum\limits^(3)_(x=0){(e^(-8)(8)^(x))/(x!)}`

`=0.00034+0.00268+0.01073+0.02863\\=0.04238\\\approx 0.0424`

Thus, the probability of getting a cookie with no more than 3 chips is 0.0424.