The weight of cans of fruit is 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)0.0100
B)0.8400
C)0.0026
D)0.0001

Question

Quizplus · Accepted Answer

To find the percentage of cans that weigh 860 grams or less, we use the Z-score formula: Z = (X - μ) / σ, where X is the value in question, μ is the mean, and σ is the standard deviation. Plugging in the values: Z = (860 - 1000) / 50 = -140 / 50 = -2.8. Looking up a Z-score of -2.8 in a standard normal distribution table or using a calculator gives us a value of approximately 0.0026, indicating that about 0.26% of the cans weigh 860 grams or less.

The Weight of Cans of Fruit Is Normally Distributed with a Mean