Question

a) Probability function of X discrete random variable: P(x) = cx x = 1, 2, 3, ..., 100 0 in other cases Find the cumulative distribution function (F(x)) and plot F(x). ii) Find the probabilities of P(x ≤ 3), P(x > 2), and P(2 ≤ x ≤ 4) using the distribution function. b) Probability density function of continuous random variable X: f(x) = c(3 + x) 1 < x < 30 0 in other cases Find the cumulative distribution function (F(x)) and plot F(x). ii) Calculate the probabilities P(1.3 < X < 2), P(X > 2.5), and P(X ≤ 1.5).

          a) Probability function of X discrete random variable:
P(x) = cx                                    
x = 1, 2, 3, ..., 100                                                
0 in other cases
Find the cumulative distribution function (F(x)) and plot F(x).
ii) Find the probabilities of P(x ≤ 3), P(x > 2), and P(2 ≤ x ≤ 4) using the distribution function.

b) Probability density function of continuous random variable X:
f(x) = c(3 + x)                                     
1 < x < 30                                          
0 in other cases
Find the cumulative distribution function (F(x)) and plot F(x).
ii) Calculate the probabilities P(1.3 < X < 2), P(X > 2.5), and P(X ≤ 1.5).

Added by Elizabeth D.

Question

Please give Ace some feedback