Suppose that the probability density function of the continuous random variable X 1 c² + x2 0, Find: (a) The value of constant c; √3n 12 (b) (c) P (- E(X). < X< f(x) = { (0,7); X € (0, elsewhere.

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Suppose that the probability density function of the continuous random variable X i:
1
c² + x2
0,
Find:
(a) The value of constant c;
√3n
P (- < X <
(b)
12
(c)
E(X).
f(x) =
{
(0,7);
Page 2 of 4
X € (0,
elsewhere.
Transcribed Image Text:Suppose that the probability density function of the continuous random variable X i: 1 c² + x2 0, Find: (a) The value of constant c; √3n P (- < X < (b) 12 (c) E(X). f(x) = { (0,7); Page 2 of 4 X € (0, elsewhere.
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