The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce. Each can holds a maximum of 12.50 ounces of soda. Every can that has more than 12.50 ounces of soda poured into it
Causes a spill and the can must go through a special cleaning process before it can be sold. What is the probability that a randomly selected can will need to go through this process?
A) .8413
B) .6587
C) .1587
D) .3413

Question

Quizplus · Accepted Answer

The probability is found by calculating the area to the right of 12.50 ounces in the normal distribution. The z-score is (12.50 - 12.30) / 0.20 = 1. The probability of a z-score greater than 1 is 0.1587.

The Amount of Soda a Dispensing Machine Pours into a 12-Ounce