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- 6.The continuous random variable X has the probability density function given by 1 -2 < x < 4 f(x) = otherwise Determine P(X < 2)Suppose that X is a random variable having the following probability density function given by (2(0-x) x>0 f(x) = elsewhere Find the value of c such that an interval from x to cx is a (1-a)100% confidence interval for the parameter 8.11. Let X be a continuous random variable with probability density function r>0 f(x)= 0, otherwise, where 1> 0. Let Y be the largest integer less than or equal to X. Determine the probability function of Y.
- 7. If a random variable has the probability density function -1≤x≤3 otherwise f(x)=k(x²-1) =0Q6. A continuous random variable has probability density function = { / (2x - 3) ,15x52 0 , otherwise f(x) = The find the value of P(1.5 ≤ x ≤ 4)a) Suppose that X is a random variable having the following probability density function given by (2(0-x) 02 f(x) = -, x > 0 (0, elsewhere Find the value of c such that an interval from x to cx is a (1- a)100% confidence interval for the parameter 0.
- 6. Suppose that the random variables X and Y have joint probability density function given by x+y, 0Suppose that the random variables X and Y have the following joint probability density function. f(x, y) = ce-8x - 5y, 0 0).Let X will be continuous random variable with probability density function as below. f(x) = {4x , (0Recommended 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