Refer to Example 5.15 (p. 197) and the life length Y of a drill bit. Recall that

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Refer to Example 5.15 (p. 197) and the life length Y of a drill bit. Recall that Y has a Weibull distribution with α = 2 and β = 100.

a. Calculate the values of f(y) for y = 2, 5, 8, 11, 14 and 17. Plot the points ( y, f(y)) and construct a graph of the failure time distribution of the drill bits. 

b. Calculate the variance of the failure time distribution. 

c. Find the probability that the length of life of a drill bit will fall within 2 hours of its mean.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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