1. Let X be a continuous random variable with the following density function: cx,0
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A: (a) Here, Hence the value of p is -1. Since we can calculate q as follows: Hence the value of…
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A: Explanation of the answer is as follows
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A: Solution
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- Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma. I need help with part B and DLet X and Y be independent random variables each having density function 2r fx (x) = 2 e * for x20 elsewhere Find: E (X+ Y)6.) Suppose X is continuously uniformly distributed on [−2, 2]. Let Y = X2. What is the density function of Y? What is the expected value of Y?
- 5. Suppose that two continuous random variables X and Y have joint probability density function (e**y +e 2x-y) 15xs2,0sys3 elsewhere a. P( 3/2 s Xs2, 1SYS2) b. Are the random variables X and Y independent? c. find the conditional density X given Y = 0 d. Find the strength of the relationship and interpret the findings.Suppose that X and Y are random variables with joint density function fx,y (x, y) = 8xy for 0Let X be a random variable with density functionf(x), with 02. Let X and Y denote independent random variables with respective probability density func- tions fx(x) = 2x, 0b) Let X and Y be jointly continuous random variables with the following joint density function (1/32)xy ,0 2) v. Evaluate P(Y > X – 2)Q1. Random variables X and Y have joint Probability Density Function (PDF) fxx(x, y) = {2 - 1< x < y < 1 otherwises Find rx,y and E[e*+Y].Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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