Question

A cola-dispensing machine is set to dispense a mean of 2.02 liters into a container labeled 2 liters. actual quantities dispensed vary and the amounts are normally distributed with a standard deviation of 0.015 liters. what is the probability a container will have less than 2 liters?

Answer 1

Answer: 0.9087.

Step-by-step explanation:

Given  : Population mean : $\mu=2.02\text{ liters}$

Standard deviation : $\sigma =0.015\text{ liters}$

Here , the actual quantities dispensed vary and the amounts are normally distributed .

Let x be the amount of cola in container in liters :-

$P(x$

Thus , the probability a container will have less than 2 liters is 0.9087.