Answer:
The probability that there are no more than two chips in any one cookie = 23/25
Step-by-step explanation:
The mean number of chocolate chips per cookie is 4/4 = 1 chocolate chip per cookie.
Using the Poisson distribution formula
P(X = x) = (e^-λ)(λˣ)/x!
Mean = λ = 1
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
For P(X = 0),
P(X = 0) = (e⁻¹)(1⁰)/(0!) = 0.36788
For P(X = 1)
P(X = 1) = (e⁻¹)(1¹)/(1!) = 0.36788
For P(X = 2)
P(X = 2) = (e⁻¹)(1²)/(2!) = 0.18394
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
P(X ≤ 2) = 0.36788 + 0.36788 + 0.18394 = 0.9197 ≈ 0.92 = 23/25
