Q.23 A single-machine-tool system showed that the time it operates before breaking down is exponentially distributed with a mean 10 hours. i) Determine the failure rate and the reliability. ii) Find the probability that the machine operates for at least 12 hours before breaking down. iii) If the machine has already been operating 8 hours, what is the probability that it will last another 4 hours?

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: