Basic Probability Question
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Basic Probability Question

[From: ] [author: ] [Date: 13-01-29] [Hit: ]
2)What is the probability that the mean content of a six-pack of cans is between 199.and 200.2 ml?Thanks for any help-m=200.2 , s = 0.......
Hey, been working on this for awhile now and the book gives no help, could someone explain to me how to do this problem?

A soda supplier uses a filling machine to fill cans of beverage. Each 12 oz can is to
contain 200 milliliters of beverage. In fact, the amount varies according to a
normal distribution with mean m = 200.2 ml and standard deviation s = 0.5 ml.

1)What is the probability that an individual can contains less than
200 ml?

2)What is the probability that the mean content of a six-pack of cans is between 199.5
and 200.2 ml?

Thanks for any help

-
m=200.2 , s = 0.5
looking up a z-table,
1. P(z < (200-m)/s) = .3446 <----
2. P((199.5-m)/s < z < (200.2-m)/s ) = .4192 <-----
1
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