18. Consider the following probability distribution for the random variable X. X= Ti P(X = x₂) .1 0 1 2 3 .3 .4 .2 (a) Find E(X). (b) Find P(X> 1)
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- 5. The random variable X, representing number of errors per 100 lines of software code, has the following probability distribution: 3 4 6. f(x) 0.05 0.23 0.4 0.02 0.3 Find the mean of g(X) given g(X) = (2X – 5)13. If X is a random variable with the following probability distribution , Find E(x), E(X'), V(X) and E(2X+1)² X=x -3 6 9 Total P(x) 1. T. 1 1/3 6-1/24[Q1] The probability distribution of the discrete random variable X is: f(X) = k23-* , for x = 4,5, 6, 7 (a) Find: • the value of the constant k. • The mean E (X). • The variance Var(X). (b) Sketch F(X).
- (50) Let X be a random variable with p.d.f. k 11. A discrete random variable X follows the Uniform distribution if X takes values x = 1, 2, .., N, with P(X = x) = 1/N. Compute E(X), E(X²) and the variance Var(X). You may use the following identities: п(п + 1) (1) 2 п(п + 1)(2n + 1) (2) i=14.2 The probability distribution of the discrete random variable X is f(x) = 3 (*)*** Find the mean of X. 3-x (¹)ª (²³)³—ª, x = 0, 1, 2, 3.O1: Let x be random variable with the following (p.d.f): SC e-* x20 f (x) = 0.W Find: 1. The constant C? 2. The c.d.f? 3. P(14. Find the mean of the discrete random variable X with the following probability distribution. Use this formula. μ -ΣΙΧ . P (X)] P(x) х. Р(х) x2 x² . P(x) X 14 1 /½ 5. Referring to the table above, solve for the variance and standard deviation. Use this formula. o² = E[x2 . P(X)1 – µ? E[x² - P(X)] – µ² | O =My Find the standard deviation of the discret probability dist x P(x) xp(x)) (x-M)² | (x-mipul 2 σ = √(x-M)² pxx) ટે О 0.21 10*0.21=0 /10-112 =. M= Exp(x) 1 0.30 1*0.3 = 0.3 2 0=49 EXP(X) =MRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON