The weights of cans of fruit are normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. What percent of the cans weigh 860 grams or less?
A) About 1%
B) About 84%
C) About 0.26%
D) About 0.01%

Question

Quizplus · Accepted Answer

We need to find the percentage of cans that weigh 860 grams or less. 
First, we need to calculate the z-score for this weight:

z = (860 - 1000) / 50 = -2.8

Using a standard normal distribution table, we can find that the percentage of cans weighing 860 grams or less is about 0.26%, which corresponds to the area under the curve to the left of z = -2.8. Therefore, the answer is C.

The Weights of Cans of Fruit Are Normally Distributed with a Mean