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