Answer:
0.84882
Step-by-step explanation:
Given:-
The production process is in control is number of chocolate chips in a cookie. The mean number of chocolate chips per cookie is 6.0.
λ = 6.0
- We define a random variable (X) that denotes the number of chocolate chips inspected on a cookie follows a poisson distribution:
X ~ Po ( 6.0 )
Find:-
how many cookies should the manager expect to discard from the batch if the policy is that each cook must have at least four chocolate chips?
Solution:-
- We will use the probability mass function of Poisson variate (X). Given:
Where, k = 0 , 1 , 2 , 3 , 4 , 5 , 6 , .... , n = 100
- The required probability is P ( X ≥ 4 ); Using the pmf function we have: