Let X and Y have joint pdf given by f(x, y) = (k(1 − y) if (x, y) ∈ R 0 otherwise, where R is the region bounded by x = 0, y = x, and y = 1. (a) Find the value of k which makes this a pdf. (b) Find the marginal pdfs for X and Y . Are X and Y independent?
Let X and Y have joint pdf given by f(x, y) = (k(1 − y) if (x, y) ∈ R 0 otherwise, where R is the region bounded by x = 0, y = x, and y = 1. (a) Find the value of k which makes this a pdf. (b) Find the marginal pdfs for X and Y . Are X and Y independent?
Let X and Y have joint pdf given by f(x, y) = (k(1 − y) if (x, y) ∈ R 0 otherwise, where R is the region bounded by x = 0, y = x, and y = 1. (a) Find the value of k which makes this a pdf. (b) Find the marginal pdfs for X and Y . Are X and Y independent?
Let X and Y have joint pdf given by f(x, y) = (k(1 − y) if (x, y) ∈ R 0 otherwise, where R is the region bounded by x = 0, y = x, and y = 1. (a) Find the value of k which makes this a pdf.
(b) Find the marginal pdfs for X and Y . Are X and Y independent?
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
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