# Probability of a Container Containing a Certain Weight

The weight of the food packed in certain containers is a normally distributed random variable with a mean weight of 400 pounds and the standard deviation of 4 pounds. Suppose that the container is picked at random. Find the probability that it contains:

a) more than 410 pounds

b) less than 398 pounds

c) between 391 and 398 pounds

https://brainmass.com/statistics/probability/probability-container-containing-certain-weight-29886

#### Solution Preview

a) more than 410 pounds

M = 400, SD = 4

Since the weight follows a normal distribution, we can find the probability by calculating the z value:

Z = (X-M)/SD = (410-400) / 4 = 2.5

From a z table, we find ...

#### Solution Summary

With brief calculations and step by step format, this solution determines probability for each of the conditions for weight of the container.

$2.49