Find the mean of the following random variables
• Only decimal value is allowed for your answer, that is, no fraction form is allowed.
• Valid Number Format: 0.00123, 1.23E-3, 1.23*10^-3.
• The required precision for your answer is 4
• Use Python for Calculation.
1. PDF of Y:
$f_Y(y) = c \cdot y(1 - y)$, $0 < y < 1$
• E[Y] =
2. PMF of N:
$P_N(n) = c \cdot \left(\frac{1}{3}\right)^n$, $n = 1, 2, 3, ...$
• E[N] =
3. CDF of Z:
$F_Z(z) = [1 - exp(-z^2)]u(z)$
• E[Z] =