The shape factor for a casting in the form of an annular cylinder of outside diameter $$30$$ $$cm,$$ inside diameter $$20$$ $$cm$$ and height $$30$$ $$cm$$ (correction factor $$k=1.0$$) will be

Which one of the following is Not associated with vector calculus?

Two dice are thrown simultaneously. The probability that the sum of numbers on both exceeds $$8$$ is

The life of a bulb (in hours) is a random variable with an exponential distribution $$\,\,f\left( t \right) = \alpha {e^{ - \alpha t}},0 \le t \le \infty .\,\,\,$$ The probability that its value lies $$b/w$$ $$100$$ and $$200$$ hours is