Question

A soft drink machine outputs a mean of 24

ounces per cup. The machine's output is normally distributed with a standard deviation of 3
ounces. What is the probability of filling a cup between 26
and 27
ounces?

Answer 1

2/7

Assuming I know what standard deviation is, it is there is a 3 ounce "range" that the machine can give, based on that 24 oz mean. So there can be 21,22,23,24,25,26, and 27. Out of those 7, 2 are the numbers we are looking for, so it is 2/7.