The distribution of vitamin C amount in vitamin drops produced by a given factory is approximately Normal, with a mean of 60.0 mg and a standard deviation of 0.5 mg.

About 80% of vitamin drops contain more than

A 59.36 mg of vitamin C.

B 59.58 mg of vitamin C.

C 60.42 mg of vitamin C.

D 60.64 mg of vitamin C.

Question

Geovanni Rosario

Mathematics

27 April, 14:47

The distribution of vitamin C amount in vitamin drops produced by a given factory is approximately Normal, with a mean of 60.0 mg and a standard deviation of 0.5 mg.

About 80% of vitamin drops contain more than

A 59.36 mg of vitamin C.

B 59.58 mg of vitamin C.

C 60.42 mg of vitamin C.

D 60.64 mg of vitamin C.

+5

Answers (1)

Know the Answer?

Ayana · Answer 1

You have to calculate z-scores for each of these values and then compare them with what is needed for the 80%tile on a Normal curve.

z = (value - mean) / (standard deviation) = (value-60.0) / 0.5.

z = 1 has 84% of the values smaller.