show that for a discrete uniform random variable x if each of the values in the range of x is mu

Name: show that for a discrete uniform random variable x if each of the values in the range of x is multiplied by the constant c the effect is to multiply the mean of x by c and the variance of x 27668
Uploaded: 2023-06-24T09:55:34-08:00
Duration: 3 min 9 s
Channel: Adi S
Description: show that for a discrete uniform random variable x if each of the values in the range of x is multiplied by the constant c the effect is to multiply the mean of x by c and the variance of x 27668

Question

Umar Sohail Qureshi · Accepted Answer

First, let&#x27;s find the mean and variance of the discrete uniform random variable X. Suppose X tak

Question

Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c^2. That is, show that (cX) = cE(X) and V(cX) = c^2V(X).

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