The discrete random variable Y has probability distribution given by:Y0.13.P(Y=y)b.0.10.15awhere a, b and c are constants.P(Y = 1) = P(Y 23)%3DP(Y = 0) = P(Y = 2) – 0.1%3D%3DFind the values of a, b and c.

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Answered: The discrete random variable Y has…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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X is a random variable with distribution X 1 P(x) 0.4 0.6 X1 and X2 are two random variables and both have the same distribution as X. Let Y = X1 - X2. Find the distribution of Y. Y = 0 Y -1 1 P(y) 0.25 0.50 0.25 Y -1 1 P(y) 0.24 0.52 0.24 Y 1 2 P(y) 0.16 0.48 0.36
Find the marginal probabilities of each random variable X and Y in thefollowing table:- Compute the covariance and the correlation of these two random variables.
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
V is a normal Gaussian random variable. P = (V-1)² d. Find the PDF of P. e. Find the expected value of P.
X-X Z= Z-score: Variance: σ ²=Σ(x-4)²P For questions 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 1 2 3 4 5 X 3 4 5 6 7 P(x) 0.3 0.2 0.1 0.3 0.1 P(x) 0.1 0.2 0.3 0.15 0.25 1 2 Find E(X) for the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 0 2 4 6 8 X 1 4 5 6 8 P(x) 0.1 0.1 0.1 0.2 0.5 P(x) 0.2 0.2 0.2 0.3 0.1 3
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The discrete random variable Y has probability distribution given by: Y 0. 1 3. P(Y=y) b. 0.1 0.15 a where a, b and c are constants. P(Y = 1) = P(Y 23) %3D P(Y = 0) = P(Y = 2) – 0.1 %3D %3D Find the values of a, b and c.