THE CORRECT ANSWER IS .006 PLEASE SHOW ME THE STEPS The diameter of a forged cra
ID: 3177654 • Letter: T
Question
THE CORRECT ANSWER IS .006
PLEASE SHOW ME THE STEPS
The diameter of a forged crankshaft is specified as 1.2 plusminus 0.02 in. Past experience with the forging process gives a mean value of 1.2 in and a standard deviation of 0.005 in. Find the percent of discarded crankshafts. Assume normal distribution for the diameter of the crankshafts. The life of a heat exchanger (in thousands of hours) is represented by the probability density function f(x) = ae^-ax; x greaterthanorequalto 0 Determine (a) mean, (b) mode, (c) median, (d) standard deviation, and (e) skewness coefficient of the life of the heart exchanger. An O-ring used to seal the leakage of fluid in a pressure vessel is subjected to a random pressure X [in k(lb/in^2)] which can be approximated by the distribution. f(x) = {x/10; 0 lessthanorequalto x lessthanorequalto 2 10-x/40; 2 lessthanorequalto x lessthanorequalto 10Explanation / Answer
mean = 1.2
std. dev. = 0.02
Crankshafts will be discarded if they are below 1.18 in or above 1.22 in specification. This means we need to find out the probabilities where diameter of crankshafts goes beyond this specified range.
P(X<1.18) + P(X>1.22)
= P(z<(1.18-1.2)/0.005) + P(z<(1.22-1.2)/0.005)
= P(z<-4) + P(z>4)
= 0.0 + 0.0
=0.0
Hence 0% of total crankshafts will be discarded.
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