Suppose the joint pdf of (X,Y) is f(x,y) =c(x2+y3), 0< x <1, 0< y <1, and f(x,y) = 0 otherwise. (a) Determine the value of c. (b) Find the conditional pdf ofXfor every given value ofY∈(0,1). (c) Compute Pr(X >1/2|Y= 1/2).
Suppose the joint pdf of (X,Y) is f(x,y) =c(x2+y3), 0< x <1, 0< y <1, and f(x,y) = 0 otherwise. (a) Determine the value of c. (b) Find the conditional pdf ofXfor every given value ofY∈(0,1). (c) Compute Pr(X >1/2|Y= 1/2).
Suppose the joint pdf of (X,Y) is f(x,y) =c(x2+y3), 0< x <1, 0< y <1, and f(x,y) = 0 otherwise. (a) Determine the value of c. (b) Find the conditional pdf ofXfor every given value ofY∈(0,1). (c) Compute Pr(X >1/2|Y= 1/2).
f(x,y) =c(x2+y3), 0< x <1, 0< y <1, and f(x,y) = 0 otherwise.
(a) Determine the value of c.
(b) Find the conditional pdf ofXfor every given value ofY∈(0,1).
(c) Compute Pr(X >1/2|Y= 1/2).
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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