Homework Soursea continuous random variable has a density function of the f
a continuous random variable has a density function of the form f(x)=0.5 over the interval [o,b] find b
Solution
Note that f(x) must be normalized to 1.
Thus,
Integral[f(x) dx] = 1
Integral [(0.5) dx]|(0,b) = 1
0.5x |(0, b) = 1
0.5b - 0.5(0) = 1
0.5b = 1
b = 2 [ANSWER]
![a continuous random variable has a density function of the form f(x)=0.5 over the interval [o,b] find bSolutionNote that f(x) must be normalized to 1. Thus, Int](/WebImages/7/a-continuous-random-variable-has-a-density-function-of-the-f-989525-1761508677-0.webp "a continuous random variable has a density function of the form f(x)=0.5 over the interval [o,b] find bSolutionNote that f(x) must be normalized to 1. Thus, Int")
