Find E(X)
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Find E(X)
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- The probability density function of X is given by the following table: X 2. 3 4 5 P(x) K 3K 5K 7K 9K 11K 13K Find (i) P (X 0.3 ?Suppose that the random variable X has density ƒx (x) = 4x³ for 0 4X).Determine k so thatf(x, y) = kx(x − y) for 0 < x < 1, −x < y < x0 elsewherecan serve as a joint probability density.
- Suppose that X is a continuous random variable with density function f(x). If f(x)=k for −5≤x≤3 and f(x)=0 otherwise, determine the value of k.Let X be a continuous random variable with density f (x) = 24x-4 for x > 2. Then E (X) is equal toLet X be a positive random variable having the probability density function fx(x) and 1 Y = be a decreasing function for 0Let 3x2, 0Suppose that X and Y have a joint probability density function given by ce-3z=5y if a, y 20 fx.y(T, y) = otherwise Find the marginal probability density function fx and state the name of the distribution of X.Suppose the random variable Y has an exponential distribution with mean 2. Use the method of transformations to find the density function of U=(1/5)Y+3Assume that X has density ƒ (x) = ca² (3 – x) for –2If a dealer's profit, in units of $3000, on a new automobile can be looked upon as a random variable X having the density function below, find the average profit per automobile. f(x) = 1 (7-x), 0let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x) =3x² for 0 ≤ x ≤ 1. Find the mean and variance of X. Interpret the results.Recommended 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,