We toss two fair dice with six faces numbered from 1 to 6 and we denote X the v. a. which represents the sum of the two figures obtained and Y the v. a. which is equal to the maximum of these two numbers. (a) Determine the joint pmf of X and Y .
(b) Determine the marginal pmf of X and the marginal pmf of Y . Are X and Y
independent?
(c) Find Cov(X, Y ) and ρX, Y .
(d) Find the conditional pmf of Y given that X = 6 and find E(Y |X = 6).

555.99.

step-by-step explanation:

hope this

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33