C-reactive protein (CRP) is a measure of inflammation in the body and can be measured via a routine blood test. For healthy adults, CRP is less than 10 milligrams per liter of blood. Let X = CRP level in healthy adults. Then, f(x) = {₀ ᶜ ⁽ˣ ⁻ ⁶⁾ ᶦᶠ ⁰ ≤ ˣ ≤ ⁶ otherwise. Where c is a constant.
a. Find the value of c that makes f(x) a legitimate probability density function. Use that value of c for the entire rest of the problem.