Question

6. Practice with normal – draw graphs with correct area shaded in and proper x and z axes. Use the tables I handed out in class. If you do not have such tables, google a set to use. To have tables similar to those I gave you, go back to the assignment where one is attached.)

The fill amount in 2-liter soft drink bottles is normally distributed with a mean of 2.0 liters and a mean of 0.05 liters. If bottles contain less than 95% of the listed net content (i.e., less than 1.90 liters) the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 2.10 liters may cause excessive spillage upon opening.

What is the probability that a randomly selected bottle will contain:

a. Between 1.90 and 2.00 liters?

b. Between 1.90 and 2.10 liters?

c. Below 1.90 liters or above 2.10 liters?

d. At least how much soft drink (in liters) is contained in 99% of the bottles? (Draw the graph and try to see whether lower 99% and upper 99% works best to figure this out).

e. 99% of the bottles contain an amount that is between which two values, symmetric about the average?

Answer 1