Question: 1. Suppose that the random variable X has a continuous probability density function, f(x) ={ 0, if x>0 another case calculate mean and variance.

1. Suppose that the random variable X has a continuous probability density

1. Suppose that the random variable X has a continuous probability density function, f(x) ={ 0, if x>0 another case calculate mean and variance. 2. Let X be a random variable with E(x) = and var(X) = o?. Let c be an arbitrary constant, show that E[(X c)*] = (u - c)? +o? 3. Let X be a random variable with E(x) = u and var(X) = o2. Let c be an arbitrary constant, show that %3D E[X(X 1)] = (u 1) +o?

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