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Probability with Applications in Engineering, Science, and Technology

Let $X=$ the time it takes a read to locate a desired record on a computer disk memory device once the head has been positioned over the correct track. If the disks rotate once every 25 msec, a reasonable assumption is that $X$ is uniformly distributed on the interval $[0,25] .$

(a) Compute $P(10 \leq X \leq 20.)$

(b) Compute $P(X \geq 10).$

(c) Obtain the cdf $F(x).$

(d) Compute $E(X)$ and $\operatorname{SD}(X).$