For a discrete random variable P(x = x) = F_x(x^) - F_x(x^) = Size of Jump F_x (

Question

For a discrete random variable P(x = x) = F_x(x^) - F_x(x^) = Size of Jump F_x (x^) = CDF slightly above x F_x(x^) = CDF slightly below x. A discrete random variable x has a cumulative distribution function depicted below. Use the cumulative distribution function to find the following probabilities: P(X 2) P(X greaterthanorequalto 2) P(X = 1) P(X = 3) Express the cumulative distribution function in terms of step function and deduce the probability density function. Write a MATLAB script to plot the cumulative distribution function. Use function cumsum and stairs.

Explanation / Answer

1) It can be seen from the graph that probabilty is equal to P(X<1) = 0.

2)P(X<=1 ) can be seen as 1/4

3)P(X>2) can be calculated as 1-0.5=0.5

4)P(X>=2) can be calculated as 1-0.25=0.75

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.