SOLUTION: Question 1 A previous survey shows that a machine making plastic components is correctly set up for the day's production on 95% of days. On days when it is set up correctly, 98%

Question 1054947: Question 1
A previous survey shows that a machine making plastic components is correctly set
up for the day's production on 95% of days. On days when it is set up correctly, 98%
of the components produced are good. If the machine is not set up correctly, only 40%
of the components produced are good. On a particular day, the machine is set up and
the first component produced is found to be good. What is the probability that the
machine is set up correctly?
Question 2
A wheel bearing factory rejects bearings if they are either oversize or undersize. The
probability that a bearing is oversize is 0.004 while the probability that it is undersize
is 0.01.
(a) Are oversize rejection and undersize rejection events mutually exclusive?
(b) What is the probability that a bearing selected at random is not within size limits?
(c) What is the probability that a bearing selected at random is correctly sized?
Question 3
In Question 2, bearings are rejected if they are outside size limits. Incorrectly sized
bearings are placed in a bin. If a bearing is selected at random from the rejects bin,
what is the probability that it is undersize?
Question 4
If x is normally distributed with u = 25 and s = 7 determine the probability that a
randomly selected x lies between 18 and 32.
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
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One question per post, please.

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