Suppose F(x) = $\mathrm { kx } ^ { - 5 }$

Short Answer

Suppose f(x) = $\mathrm { kx } ^ { - 5 }$ is a density function for a random variable x for x ≥ 2. Find the value of k and find the corresponding cumulative distribution function.
Enter your answer exactly as a ± b $x ^ { c }$ .