A median of a distribution of one random variable x of the

Reference no: EM13605718

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A median of a distribution of one random variable X of the discrete or continuous type is a value of x such that P(X < x) <= 1/2 and P(X <= x) >= 1/2. If there is only one such x, it is called the median of the distribution. Find the median of each of the following distributions:

(a) p(x) = [4!/(x!(4-x)!)] * (1/4)^x*(3/4)^(4-x), x = 0,1,2,3,4, zero elsewhere.

(b) f(x) = 1/(pi(1+x^2)) , -infinity < x < +infinity

Reference no: EM13605718

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