The lifetime of a machine part has a continuous distribution on the interval (0, 40) with probability density function f, where f(x) is 25/2 (10 + x)^{-2}. Calculate the probability that the lifetime of the machine part is less than 6. 0.53 0.47 0.94 0.04 0.15
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Step 1: The probability density function is given by f(x) = 25/(10 + x)^2. Show more…
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Machine Part The lifetime of a machine part has a continuous distribution on the interval $(0,40)$ with probability density function $f,$ where $f(x)$ 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. Source: Society of Actuaries. $\begin{array}{lllllll}{\text { (a) } 0.04} & {\text { (b) } 0.15} & {\text { (c) } 0.47} & {\text { (d) } 0.53} & {\text { (e) } 0.94}\end{array}$
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Machine Part The lifetime of a machine part has a continuous distribution on the interval $(0,40)$ with probability density function $f,$ where $f(x)$ 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. Source: Society of Actuaries. a. $0.04 \qquad$ b. $0.15 \qquad$ c. $0.47 \qquad$ d. $0.53 \qquad$ e. $0.94$
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