Question

Consider the following joint pmf for the random variables X and Y: X 2 4 10 -5 0.2 0.1 0.05 Y 1 0.3 0.0 0.35 So the outcomes for the X random variable are 2, 4, 10, while the outcomes for the Y random variable are -5, 1, and the remaining numbers indicate joint joint probabilities. Answer the following: (a) Enter the marginal probability P(X = 10). (b) Enter the marginal probability P(Y = -5). (c) Enter the least likely outcome for X. (d) Enter the conditional probability P(Y = -5|X = 2). (e) Enter the conditional probability P(Y= 1|X = 2). (f) Enter the conditional expected value E(Y|X = 2). (g) Enter the joint probability P(X = 4, Y = 1). (h) Enter the expected value E(XY). (hint: Remember, an expectation is just a probability weighted sum. You will need to work out every outcome for the random variable XY, weight each outcome by its corresponding probability, and then sum it all up. If you're having trouble with this question, leave it till last!).

          Consider the following joint pmf for the random variables X and Y:
X
2
4
10
-5
0.2
0.1
0.05
Y
1
0.3
0.0
0.35
So the outcomes for the X random variable are 2, 4, 10, while the outcomes for the Y random variable are -5, 1, and the remaining numbers
indicate joint joint probabilities. Answer the following:
(a) Enter the marginal probability P(X = 10).
(b) Enter the marginal probability P(Y = -5).
(c) Enter the least likely outcome for X.
(d) Enter the conditional probability P(Y = -5|X = 2).
(e) Enter the conditional probability P(Y= 1|X = 2).
(f) Enter the conditional expected value E(Y|X = 2).
(g) Enter the joint probability P(X = 4, Y = 1).
(h) Enter the expected value E(XY). (hint: Remember, an expectation is just a probability weighted sum. You will need to work out every
outcome for the random variable XY, weight each outcome by its corresponding probability, and then sum it all up. If you're having trouble
with this question, leave it till last!).

Consider the following joint pmf for the random variables X and Y:
X
2
4
10
-5
0.2
0.1
0.05
Y
1
0.3
0.0
0.35
So the outcomes for the X random variable are 2, 4, 10, while the outcomes for the Y random variable are -5, 1, and the remaining numbers
indicate joint joint probabilities. Answer the following:
(a) Enter the marginal probability P(X = 10).
(b) Enter the marginal probability P(Y = -5).
(c) Enter the least likely outcome for X.
(d) Enter the conditional probability P(Y = -5|X = 2).
(e) Enter the conditional probability P(Y= 1|X = 2).
(f) Enter the conditional expected value E(Y|X = 2).
(g) Enter the joint probability P(X = 4, Y = 1).
(h) Enter the expected value E(XY). (hint: Remember, an expectation is just a probability weighted sum. You will need to work out every
outcome for the random variable XY, weight each outcome by its corresponding probability, and then sum it all up. If you're having trouble
with this question, leave it till last!).

Added by Gabriel T.

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