Aply the definitions you're meant to have been taught and which I'm sure will be in your classnotes or textbook.
(a) E(aX + bY) = aE(X) + bE(Y).
(b) Pr(Y = 0) = 3/28 + 9/28 + 3/28 = 15/28. All the others done in a similar way.
(c) E(X) = 1(0.1 + 0.2 + 0.2) + 2(0.15 + 0.30 + 0.15) = .... E(Y) done in a similar way.
If you need more help, please show all your work and say where you're stuck.
please find the attached file of Q
check my answer.
part a)
E(2X + 5Y) = 2E(X) + 5E(Y) = 2*4 + 5*1 = 13
part b)
P(Y = 0) = (3 + 9 + 3)/28 = 15/28
12
10.100.150.2520.200.300.5030.100.150.25
0.400.60E(X) = 1*0.40 + 2*0.60 = 1.61.00
E(Y) = 1*0.25 + 2*0.50 +3*0.25 = 2