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b) The probability density function of X and Y continuous random variables is given below. 1) = {c (x ² + + 333) 0 0

b) The probability density function of X and Y continuous random variables is given below. 1) = {c (x ² + + 333) 0 0

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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b) The probability density function of X and Y continuous random variables is given below. 1) = {c (x ² + + 333) 0 0<x< 1 ve 0 < y < 2 in other cases Accordingly, after finding the coefficient c and marginal functions, the expected value, variance and standard deviation; interpret the asymmetry measure (α³) when the 3rd moment (µ3 = 0.0005) according to the arithmetic mean and the kurtosis measure (α4) when the 4th moment (µ4 = 0.004) according to the arithmetic mean. Then, find the covariance (Cov (X, Y)) and the Pearson correlation coefficient (px) to determine whether the variables x and y are independent. f(x)
Transcribed Image Text:b) The probability density function of X and Y continuous random variables is given below. 1) = {c (x ² + + 333) 0 0<x< 1 ve 0 < y < 2 in other cases Accordingly, after finding the coefficient c and marginal functions, the expected value, variance and standard deviation; interpret the asymmetry measure (α³) when the 3rd moment (µ3 = 0.0005) according to the arithmetic mean and the kurtosis measure (α4) when the 4th moment (µ4 = 0.004) according to the arithmetic mean. Then, find the covariance (Cov (X, Y)) and the Pearson correlation coefficient (px) to determine whether the variables x and y are independent. f(x)
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