Uniformly Distribution Problem

[Askhwhelp]

A random variable X drawn from a uniform [0,3] distribution and a random variable y is independently drawn randomly drawn from a uniform [0,4] distribution. The joint probability density f(x,y) is also uniform, with support given by 0 ≤ x ≤ 3, 0 ≤ y ≤ 4. Find the probability for the sum of two randomly selected number is 3
This should be 0 because a line does not have any area, right?
Find the probability for the sum of two randomly selected number greater than 3
12-4.5 = 7.5/12 = .625, right?

 

[Ray Vickson]

A random variable X drawn from a uniform [0,3] distribution and a random variable y is independently drawn randomly drawn from a uniform [0,4] distribution. The joint probability density f(x,y) is also uniform, with support given by 0 ≤ x ≤ 3, 0 ≤ y ≤ 4. Find the probability for the sum of two randomly selected number is 3
This should be 0 because a line does not have any area, right?
Find the probability for the sum of two randomly selected number greater than 3
12-4.5 = 7.5, right?

Show your work.

 

[Askhwhelp]

show your work.

3*4 - p(y<=3) = 12 - 3*3/2 = 12-4.5= 7.5/12 = .625

 

[Askhwhelp]

Please check it thx