Find the indicated probability.
-The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?
A) 47.72%
B) 97.72%
C) 37.45%
D) 2.28%

Question

Quizplus · Accepted Answer

We need to find the probability that a bolt has a diameter greater than 0.32 inches.

Using the z-score formula: z = (x - μ) / σ

z = (0.32 - 0.30) / 0.01 = 2

Lookup in the z-table or use a calculator, we find that the area to the right of z = 2 is 0.0228 or 2.28%.

Therefore, the percentage of bolts that will have a diameter greater than 0.32 inches is 2.28%.

The correct choice is D.

Find the Indicated Probability