SOLUTION: Let X be a continuous random variable whose values lie in [-1,1]. The probability density function is {{{f(x) = kx^2}}} What must the value of k be?

Question 1136602: Let X be a continuous random variable whose values lie in [-1,1]. The probability density
function is What must the value of k be?
Answer by ikleyn(52872) (Show Source): You can put this solution on YOUR website!
.


Integral of f(x) over the segment [-1,1] must be equal to 1.


Integral of f(x) over the segment [-1,1]  is   = .


So, the equation to determine k is


     = 1

    2k = 3

    k = .    ANSWER

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