Let X be a discrete random variable with the following cumulative distribution function (cdf), F (x): F (x) = 0 x < 0 0.30 0 < x < 1 0.65 1< x < 2 0.85 2 < x < 3 0.90 3 < x < 4 1 x > 4 Find p (3). Type your answer...
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- The joint probability distribution function f(x, y) of the discrete random variables X and Y is given by the following table: Let h Y Round to 4 decimal places if needed. 2 3 4 5 0 0.1 0.1 X 1 2 3 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 be the marginal probability distribution function of Y. What is h(3)?Let X be the random variable with the cumulative probability distribution: 0 x < 0 F(x) = {₁ - e-²x; x ≥ 0 Determine the expected value of X. The random variable X has a Poisson distribution such that P(X = 0) = P(X Calculate P(X= 2).3) Suppose X is a discrete variable that has the following pr function (pdf) f (X) 1. 0.40 0.20 3 0.15 4. 0.25 a) Calculate the cumulative distribution function (the b) Find the expected value, showing your work: E(X) c) Find the variance, showing your work: Var (X)
- 2. where The random variable, X, has a probability density function (pdf), f(x), and zero otherwise. (a.) (b) x+1, f(x) = {1x, 1 81 -1/2 < x < 0 0The cumulative distribution function F(x) of a random variable X is given in the following table: 1 2 3 F(x) 0.5 b 1 a Let a and b are positive constants. If P(1 3) = 0.3. Then a and b equal to: a=0.1, b=0.3 None of these a=0.1, b=0.7 a=0.5, b=0.8Answers for a, b and cLet Y denote a random variable with the following cumulative distribution function. if y 1. F(y) : In(4) a. Find the PDF, ƒ(y). b. Evaluate P(Y = 0.5). c. Evaluate P(Y 0.4). d. Evaluate P(Y < 1).Let X be a discrete random variable with cumulative distribution function F(x): 0, x < 0 0.2, 0< x < 1 0.3, 1<х<3 F(x) = { 0.5, 3 < x < 5 0.8, 5q12Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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