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 less than 500 nails in a randomly-selected five-pound box of nails?
A)0.5287
B)0.4730
C)0.0281
D)0.9713

Question

Quizplus · Accepted Answer

To solve this problem, we need to standardize the value of 500 using the formula z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation. Thus, z = (500 - 563.3) / 33.2 = -1.906. We can then find the probability using a standard normal distribution table or calculator, which gives us 0.0281. Therefore, the answer is choice C.