Let X and Y be two random variables that are uniformly distributed over the triangle formed by the points (0, 0), (1. 0) , and (0, 2) (this is an asymmetric version of the PDF in the previous problem). Calculate E[X] and E[Y] by following the same steps as in the previous problem. (a) Find the joint PDF of X and Y .
(b) Find the marginal PDF of Y .
(c) Find the conditional PDF of X given Y .
(d) Find E[X|Y = y] and use the total expectation theorem to find E[X] in terms of E[Y ].
(e) Use the symmetry of the problem to find the value of E[X].

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

whole number data type

step-by-step explanation:

as whole number type represents whole number

like 1, 2 ,3, 4

in other words the whole numbers are those numbers which cannot be written infraction.

since we can take days as a whole number i.e 1 day 2 day and we cannot write 1.2 day hence we will use whole number data type