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timofeeve [1]
3 years ago
13

A cola-dispensing machine is set to dispense a mean of 2.02 liters into a container labeled 2 liters. actual quantities dispense

d 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?
Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

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.

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