Q2 The diameter of a certain type of ball bearing is normally distribut and a standard deviation of Imm. If a random sample of 10 ball bearings is selected from the production line, (a) Determine the mean and standard deviation of sampling ditribution of X.

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(c)
Q2
(b)
The diameter of a certain type of ball bearing is normally distributed with a mean of 20mm
and a standard deviation of Imm. If a random sample of 10 ball bearings is selected from
the production line,
Determine the mean and standard deviation of sampling ditribution of X.
Any ball bearings that have a diameter of less than 19.5 mm or greater than 20 mm
are discarded. Find the probability of ball bearing will be discarded.
Using the result in Q2(b), if the manufacturer produced 30,000 ball bearings in a
day. How many ball bearings is expected to discard?
Transcribed Image Text:(c) Q2 (b) The diameter of a certain type of ball bearing is normally distributed with a mean of 20mm and a standard deviation of Imm. If a random sample of 10 ball bearings is selected from the production line, Determine the mean and standard deviation of sampling ditribution of X. Any ball bearings that have a diameter of less than 19.5 mm or greater than 20 mm are discarded. Find the probability of ball bearing will be discarded. Using the result in Q2(b), if the manufacturer produced 30,000 ball bearings in a day. How many ball bearings is expected to discard?
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