O Suppose that a random variable X has a continuous distribution for which the probability density function (p.d.f.) is as follows: { Determine the value of b that minimizes E[(X – b)²]. f(x) = x/2 for 0 < x < 2, otherwise. 0

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O Suppose that a random variable X has a continuous distribution for which
the probability density function (p.d.f.) is as follows:
x/2_for 0 < x < 2,
otherwise.
f(x) =
{
Determine the value of 6 that minimizes E[(X — b)²].
0
Transcribed Image Text:O Suppose that a random variable X has a continuous distribution for which the probability density function (p.d.f.) is as follows: x/2_for 0 < x < 2, otherwise. f(x) = { Determine the value of 6 that minimizes E[(X — b)²]. 0
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