THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The number of nails in a five-pound box of nails is normally distributed with a mean of 563.3 and a standard deviation of 33.2.
-What is the probability that there are between 525 and 575 nails in a randomly-selected five-pound box of nails?
A)0.5117
B)0.4883
C)0.5526
D)0.4474

Question

Quizplus · Accepted Answer

To find the probability that the number of nails is between 525 and 575, we calculate the z-scores for 525 and 575 using the mean (563.3) and standard deviation (33.2). Then, we find the probability for each z-score and subtract the smaller probability from the larger one. This results in a probability of approximately 0.5117.