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].

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

more detail

step-by-step explanation:

step-by-step explanation:

bob the banana