Chapter 13.CR, Problem 22CR

To determine

(a)

To find:

The probability $P\left(X\ge 3\right)$ for the probability density function of a random variable $X$ is defined by $f\left(x\right)=1-\frac{1}{\sqrt{x-1}}$ for $x$ in $\left[2,5\right]$.

To determine

(b)

To find:

The probability $P\left(X\le 4\right)$ for the probability density function of a random variable $X$ is defined by $f\left(x\right)=1-\frac{1}{\sqrt{x-1}}$ for $x$ in $\left[2,5\right]$.

To determine

(c)

To find:

The value probability $P\left(3\le X\le 4\right)$.