The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. Refer to Exhibit 6-5. What is the probability that a randomly selected item weighs exactly 8 ounces?

the probability that a randomly selected item weighs exactly 8 ounces is 0.5

Explanation:

We need to convert this into z score. The z score is used in probability to calculate the probability of a score occurring within our normal distribution.

The equation for z score(z) is given by:

where u is the mean, s is the standard deviation.

In this problem, the mean(u) = 8, the standard deviation(s) = 2 and x = 8

for the probability that a randomly selected item weighs exactly 8 ounces:

P(x = 8) = P(z=0) = 0.5(from the normal distribution tables)

answer; by looking at total product,marginal product,and changes in both after changes in inputs