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- What is the expected value of a continuous random variable X with probability density function (pdf) given by f(x) = 2x, 0 < x < 1?The probability density function of a random variable X is given by Find the probability that it will take on a value within two standard deviations of the mean andcompare this probability with the lower bound provided by Chebyshev’s theorem.A continuous random variable has the probability density function f(x) = 1/8 for 0 ≤ x ≤ 8. What is the expected value of X?
- The probability density function of the continuous random variable X defined in the set of non-negative real numbers is given as f(x) = 2.exp(-2x). What is the expected value of X?A continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0What is the expected value of a continuous probability distribution given by the density function f(x) = 2x for 0 < x < 1?
- What is the expected value (mean) of a continuous probability distribution function with the probability density function f(x) = 2x for 0 < x < 1?The probability density function of the random variable X is as in the picture with λ> 0. Find the maximum likelihood estimator (λ^) of the parameter λ.The random variable x is known to be uniformly distributed between 1.0 and 1.5.a. Show the graph of the probability density function
- If X has an exponential distribution with the param-eter θ, use the distribution function technique to find the probability density of the random variableY = ln X.What is the expected value of a continuous random variable X with a probability density function f(x) = (1/sqrt(2 * pi)) * e^-((x^2)/2)?What is the variance of a continuous probability distribution given by the density function f(x) = 4x(1-x) for 0 < x < 1?
