Let X be a continuous random variable with the following cumulative distribution function: x< 0 2 F(x) = 2x 12 Then P(0.4
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A: i) Since, -2<1.8<2 , so F(1.8) follows 0.25x+0.5 P(X < 1.8)=F(1.8)=0.25(1.8)+0.5=0.95
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- Q4:Let X be a continuous random variable with distribution Kif 0≤x≤8 f(x) = .0 elsewhere 1. Find P (2 ≤ X≤ 5), P (3 ≤ X≤ 7) and P (X2 6) 2. Determine and plot the graph of the cumulative distribution function F of XContinuous random variables X and Y have the following joint PDF: nx², -1 ≤ x ≤ 1, 0 ≤ y ≤ x² f(x, y) = otherwise. Let the event A = {Y ≤ 0.36}. Find the conditional PDF (and its range) of X given A and the expected value of X given A. Please provide the solution step by step.The cumulative distribution function of a continuous random variable X is given as Choices: A. 0.4 B. 0.5 C. 0.6 D. 0.7 E. 0.8 F. 0.9 G. Other:
- Continuous random variables X and Y have the following joint PDF: In x², f(x, y) -1 ≤ x ≤ 1,0 ≤ y ≤ x² otherwise. Let the event A = {Y ≤ 0.36}. Find the conditional PDF (and the range) of Y given A and the expected value of Y given A. Please provide the solution step by step.Let X be a discrete random variable with the following cumulative.distribution function 0. x <0 0.2 0Sx<1 15x<3 3Suppose that the random variableX has the continuous uniform distribution ( 1,0 < x < 1 0, otherwise Suppose that a random sample of n = 15 observations is selected from this distribution. What is the approximate probability distribution of X-4? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. f(x) = V distribution with mean = and variance =q12c) Let X be the random variable with the cumulative probability distribution: 0 x < 0 F(x) = {₁ - e-²x Determine the expected value of X. } " x ≥ 0Suppose X is a discrete random variable which only takes on positive integer values. For the cumulative distribution function associated to X the following values are known: F(23) 0.34 F(29) = =0.38 F(34) 0.42 F(39) 0.47 F(44) = 0.52 F(49) 0.55 F(56) = 0.61 = Determine Pr[29Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON