If f(xy)=k(y-2x) is a joint density function over Ocx<1,0x?, then what is the value of the constant k? Provide a numerical answer only
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- Prove the propertyThere are two components in an electronic system. Let X and Y denote the lengths of life in years. The joint density function of these variables f (x, y) = {ye-(utz) ,x 2 0, y >0 Determine Y. D. P(0A 26 Find a constant b >0 so that the function e3x fx (x) =4 0 < X < b elsewhere is valid density functionIn 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Freeway. The data show that the density function of these time gaps was given approximately by p(t)=ae−0.119t where t is the time in seconds and a is a constant.Find the constant a.Suppose f(x)=3x2, 0<x<1 is a density function of X. Find P(1/2<X<2).There are two components in an electronic system. Let X and Y denote the lengths of life in years. The joint density function of these variables f(x, y) = {ye-&+x) ,x 2 0, y Determine P(x>3) What is the probability that both components will exceed 3 years?The Weber-Fechner law states that if Y is the physical intensity of sound and X is the perceived intensity, then X = k log (Y), where k > 0 is a constant depending on the conditions extant. Assume Y is a Rayleigh random variable with density ye y > 0 fy (y) = 0, y < 0, and find the density function of the perceived intensity X.A teacher travels to work by car and the journey time, t hours, has a probability density function [10ct², 02. Consider the joint density function 16M f(x,y) = {#, z> 2,0SEE MORE QUESTIONSRecommended textbooks for youFunctions and Change: A Modeling Approach to Coll…AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll…AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning