Homework SourseConsider f x defined below Find PX 4 Round your answer to t
Consider f (x) defined below. Find P(X < 4). (Round your answer to three decimal places.)
f(x) = 3/125 x sqrt(25 - x^2), 0 <= x <= 5
f (x) = 0 for all other values of x
f(x) = 3/125 x sqrt(25 - x^2), 0 <= x <= 5
f (x) = 0 for all other values of x
Solution
P(X<4)=043/125 x sqrt(25 - x^2) dx=
3/125 *(-1/3(25 - x^2)3/2 )|04=3/125*98/3=
=98/125= 0.784
