Let X be a random variable with probability density function, What is EX? , What is Var(X)? cx(5 – x) for 0 < x < 5 otherwise f(x) =
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- Prof that' For a fixed B with P(B) > 0, P(A l B) is probability function.Please helpLet f(x) = x for 0 < x < 1. Is f(x) a legitimate probability distribution function (pdf) for a continuous random variable? No, the area under f(x) is not 1 (it is greater than 1). Yes, all criteria for a pdf are satisfied. No, the area under f(x) is not 1 (it it less than 1). No, f(x) is not non-negative.
- 7. If a random variable has the probability density function -1≤x≤3 otherwise f(x)=k(x²-1) =0The probability density function of a random variable is kx3 f(x) = if 0 < xs 2 V25 – x2 = 0 otherwise Find the k.Q2\ Consider is a continuous random variable with probability density function given by: Find: 1- P(50* Consider the probability density function fx (x) = a e-b lel where X is the random %3D variable which assumes all the values from (i) relation between a and b -00 to -00, Find (ii) the probability of finding X in the range 1 to 2.Determine the probability density function of the random variable X* if x 1 ON|30The probability density function of the Pareto distribution is given as: f(x) =- (x>0) (1+x)*1 Show that: Var(x) = ( α- 1), (α-2)Recommended 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