A random variable X has probability density function f (x) as given below: f (x) = {\\begin{array}{ccc}a + bx & for\:0 &lt\ x &lt\ 1 \ 0 & otherwise \\\end{array}. If the expected value E [X] = 2\/ 3, then P[X < 0.5] is______.

GATE Electrical Engineering (EE) 2015 Shift 1 Solved Paper

Question : 11 of 65

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A random variable

X

has probability density function

f (x)

as given below:

f (x) = {\{\table a + bx , for\:0 < x < 1 ; 0 , otherwise ; }.

If the expected value

E [X] = 2\/ 3

, then

P[X < 0.5]

is______.

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