The diameters of ball bearings are distributed normally. The mean diameter is 52 millimeters and the standard deviation is 4 mil limeters. Find the probability that the diameter of a selected bearing is greater than 57 millimeters. Round your answer to four decimal places.
1 answer:
Answer:
0.1057
Step-by-step explanation:
We solve using z score formula.
z = (x-μ)/σ, where
x is the raw score = 57mm
μ is the population mean = 52mm
σ is the population standard deviation = 4mm
z = 57 - 52/4
z = 1.25
Probability value from Z-Table:
P(x<57) = 0.89435
P(x>57) = 1 - P(x<57)
1 - 0.89435
= 0.10565
Approximately = 0.1057
The probability that the diameter of a selected bearing is greater than 57 millimeters is 0.1057
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