Question

. Ketchup An automatic filling machine in a factory fills bottles of ketchup with a mean of 16.1 oz and a standard deviation of 0.05 oz with a distribution that can be well modeled by a Normal model. What is the probability that your bottle of ketchup contains less than 16 oz

Answer 1

0.9772

Explanation:

The machine in the factory fills bottles of ketchup with a mean of 16.1 oz and a standard deviation of 0.05 oz.

We want to find the probability that a bottle of ketchup contains less than 16 oz.

We find the z-score of x=16.1 using

`z = (x - \mu)/( \sigma)`

We substitute to get;

`z = (16.1 - 16)/(0.05) = (0.1)/(0.05) = 2`

We read read the area corresponding to 2.0 on the standard normal distribution table to get:

P(X≤16.1)=0.9772