Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The number of unshelled peanuts in a 1 lb container is normally distributed with a mean of 375 peanuts and a standard deviation of 24 peanuts.

Suppose 4000 different 1 lb containers are in a warehouse.

About how many containers contain more than 447 peanuts?

Answer 1

Answer: a) 6

Explanation:

The mean is 375 which has a z-score of 0.

The standard deviation is 24 so:

• z-score of 1 is: 375 + 24 = 399
• z-score of 2 is: 399 + 24 = 423
• z-score of 3 is: 423 + 24 = 477

A z-score of 3 is 99.85% from the left (or 1 - 99.85% from the right = 0.15%)

Since we are looking for the "more than" a z-score of 3, it is 0.15% of the total.

4000

× 0.0015

6.0000