Suppose a continuous random variable X has the density function. \(f(x) = \begin{cases} k(1 - x)^2; & \text{for } 0 < x < 1 \\ 0; & \text{elsewhere}…
BIT Basic Statistics · 2078 · Solved Question with Answer
Suppose a continuous random variable X has the density function.
\(f(x) = \begin{cases} k(1 - x)^2; & \text{for } 0 < x < 1 \\ 0; & \text{elsewhere} \end{cases}\)
Find; (i) value of k, (ii) \(P(0 < x < 0.5)\), and, (iii) \(E(X)\) and (iv) \(E(2X + 4)\)