Question

A machine produces bolts with a mean diameter of 0.30 inches and a standard deviation of 0.01 inches. The diameters are approximately normally distributed. What is the probability that a randomly selected bolt with a diameter less than 0.32 inches? round to the nearest tenth.

Answer 1

Mean = 0.30
Standard deviation = 0.01
X<0.32?

Using the formula, you get that Z=(0.32-0.30)/4.5 and Z=0.004

Find this value on your table (0.5000)

Then you have that P(X<0.32)= 0.5000