Given a fair coin and a fair 4 sided die, Jonathan and Joseph run the following experiment. Theyroll the die (letYcorrespond to the random variable associated with the roll). If they roll aytheythe flip the coinynumber of times, letZcorrespond to the random variable associated with thetotal number of heads they flip.(i) Find the marginal PMFs ofYandZ(i. e. findPY(y) andPZ(z)).(ii) Find the conditional PMFs ofYandZ(i. e. findPY|Z(y|z) andPZ|Y(z|y))

honestly bro aint no one got time to answer these dumb question just do it p***y

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,