Let x be a fair dice roll, that is a sample from the uniform distribution in f1; 2; : : : ; 6g. let y be the number of heads in x tosses of a fair coin, that is a coin which is landing heads with probability 1 2 and tails otherwise. we assume the outcome of each coin toss is independent from the outcome of the other coin tosses and from x. a. compute e(y jx = x) for any x = 1; 2; : : : ; 6. b. prove that e(y ) = 1 2 e(x) (1) and derive the value of e(y ). explain intuitively why (1) makes sense.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

5

step-by-step explanation:

a

step-by-step explanation:

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2