Question: A machine lasts up to 10 years. Figure 7.7 shows the density function, p(t), for the length of time it lasts. (a) What is the

A machine lasts up to 10 years. Figure 7.7 shows the density function, p(t), for the length of time it lasts.
(a) What is the value of C?
(b) Is a machine more likely to break in its first year or in its tenth year? In its first or second year?
(c) What fraction of the machines lasts 2 years or less? Between 5 and 7 years? Between 3 and 6 years?

C 0.01 p(1) 5 Figure 7.7 1 10 1 (years)

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