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.

Question

Maribel Carson

Mathematics

22 April, 00:50

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.

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Answers (1)

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Katz · 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