The strength of the foundation of a reciprocating machine ((x)) has been found to vary between (1
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The strength of the foundation of a reciprocating machine \((x)\) has been found to vary between \(1 \mathrm{MPa}\) and \(1.5 \mathrm{MPa}\) according to the probability density function:
\[p(x)= \begin{cases}k\left(1-\frac{x}{1.5}\right), & 1 \leq x \leq 1.5 \\ 0, & \text { elsewhere }\end{cases}\]
What is the probability of the foundation carrying a load greater than \(1.4 \mathrm{MPa}\) ?
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