X and Y are independent random variables, and each one has two possible values, 3 and 7. Moreover the probabilities P(X=

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X And Y Are Independent Random Variables And Each One Has Two Possible Values 3 And 7 Moreover The Probabilities P X 1 (29.66 KiB) Viewed 48 times

X and Y are independent random variables, and each one has two possible values, 3 and 7. Moreover the probabilities P(X= 3, Y = 3) and P(X= 7, Y = 7) both have the same value, called p in the joint p.m.f. below: I fxy(x,y) 37 Y 3 p T C 7qpd ab 1 (a) Suppose q = 0.04. Find all the unknown probabilities in the joint p.m.f. Hint: rewrite the equation P(X= 3, Y = 3) = P(X= 7, Y = 7) in terms of a, b, c, d, and use general properties of p.m.f.'s to eliminate two variables from the resulting equation. (b) Suppose instead that q = r. Find p.