The lifetime of a machine part has a continuous distribution on the interval (0, 40) with probability density function , where (x) is proportional to (10 x) 2 Calculate the probability that the lifetime of the machine part is less than 6 Choose one of the following (a) 0 04 (b) 0 15 (c) 0 47 (d) 0 53 (e) 0 94

Question: The lifetime of a machine part has a continuous distribution on the interval (0, 40) with probability density function , where (x) is proportional to

The lifetime of a machine part has a continuous distribution on the interval (0, 40) with probability density function ƒ, where ƒ(x) is proportional to (10 + x)^-2. Calculate the probability that the lifetime of the machine part is less than 6. Choose one of the following.

(a) 0.04

(b) 0.15

(d) 0.53

(e) 0.94

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