Question

3.(30 Points) Consider random variable Y with the following density function \(f(y) = \frac{2(y+1)}{3}\) \(0 \le y \le 1\) a) Find the probability distribution function of random variable Y. b) Find P(A), where \(A = \{0.25 \le y \le 0.5\}\) c) Find conditional density function of Y with conditioning event A as \(A = \{0.25 \le y \le 0.5\}\) d) Find conditional distribution function of Y with conditioning event A as \(A = \{0.25 \le y \le 0.5\}\) e) Find mean value of random variable Y.

          3.(30 Points) Consider random variable Y with the following density function
\(f(y) = \frac{2(y+1)}{3}\)
\(0 \le y \le 1\)
a) Find the probability distribution function of random variable Y.
b) Find P(A), where \(A = \{0.25 \le y \le 0.5\}\)
c) Find conditional density function of Y with conditioning event A as \(A = \{0.25 \le y \le 0.5\}\)
d) Find conditional distribution function of Y with conditioning event A as \(A = \{0.25 \le y \le 0.5\}\)
e) Find mean value of random variable Y.

3.(30 Points) Consider random variable Y with the following density function
f(y) = (2(y+1))/(3)
0 ≤ y ≤ 1
a) Find the probability distribution function of random variable Y.
b) Find P(A), where A = {0.25 ≤ y ≤ 0.5}
c) Find conditional density function of Y with conditioning event A as A = {0.25 ≤ y ≤ 0.5}
d) Find conditional distribution function of Y with conditioning event A as A = {0.25 ≤ y ≤ 0.5}
e) Find mean value of random variable Y.

Added by Rafael W.

Question

Please give Ace some feedback