Answer:
The probability of getting a cookie with no more than 3 chips is 0.0424.
Step-by-step 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:
[tex]P(X\leq 3)=\sum\limits^{3}_{x=0}{\frac{e^{-8}(8)^{x}}{x!}}[/tex]
[tex]=0.00034+0.00268+0.01073+0.02863\\=0.04238\\\approx 0.0424[/tex]
Thus, the probability of getting a cookie with no more than 3 chips is 0.0424.
