The quality control manager at a bakery is inspecting a batch of 100 chocolate chip cookies. If the production process is in control, the mean number of chocolate chips per cookie is 6.0. Assuming the process is Poisson distributed, 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?

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:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9