Consider the following joint probability distribution function of (X , Y):
a(x + y^2) {0<=x<=2, 0<=y<=2}
0 otherwise
Calculate the value of the constant a that makes this a legitimate probability distribution. (Round your answer to four decimal places as appropriate.)
And then,
For the distribution above, determine the marginal probability density function of Y and use it to calculate the probability that 0.25 < Y < 0.75. (Round your answer to the fourth decimal place as appropriate.)
a(x + y^2) {0<=x<=2, 0<=y<=2}
0 otherwise
Calculate the value of the constant a that makes this a legitimate probability distribution. (Round your answer to four decimal places as appropriate.)
And then,
For the distribution above, determine the marginal probability density function of Y and use it to calculate the probability that 0.25 < Y < 0.75. (Round your answer to the fourth decimal place as appropriate.)