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- let x denotes the percentage of time out of 40 hour workweek that a call center agent is serving a client by answering phone calls, suppose that x has probability density function defin by f(x)=3x^2 for 0< x < 1. find the mean and variance of xQ2/ If the probability density function of X is : f(x)% = (1+e-*)2 1 then what is the probability density function of y= %3D 1+e-** 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.
- Suppose that the probability density function of the length of computer cables is f (x) = 2x/(32) for x between 0 and 3 meters. Determine the mean of the cable length. Please enter the answer to 2 decimal places.Determine the value of c for which the function below will be a probability density function. Jc(8x' - x*) if 0sxs8 f (x) = 3 if 010) Let f(x) by the probability density function of some continuous random variable. Explain why it must be true that f(x) dx =1.Suppose that two continuous random variables X and Y have joint probability density function fxy = 1sxs2,0sy<3 elsewhere Find the strength of the relationship and interpret the findings.What is the variance of a continuous probability distribution function with the probability density function f(x) = 4(x-1)^2 for 0 < x < 2?If the probability density function of random variable is given by 1 f (x) 1Write your answer correct to 4 decimal places. * In a certain city, the probability density function for x minutes to be the length of a telephone call selected at random is given by x20 f(x) = }3 0, x < 0 Find the probability that a telephone call selected will last beyond 5 minutes.If the probability density of X is given by f(x) =2x−3 for x > 10 elsewherecheck whether its mean and its variance exist.2. Let X be a continuous random variable with probability density function (pdf) 3x�� 0SEE MORE QUESTIONSRecommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,