Question
Consider the probability distribution of the discrete random vector [X,Y] where X represents the number of...
- Consider the probability distribution of the discrete random vector [X,Y] where X represents the number of orders for chickens in August at neighboring supermarket and Y represents the number of orders in September. The Joint distribution is showing the following table.
|
Y |
51 |
52 |
53 |
54 |
55 |
|
51 |
0.06 |
0.05 |
0.05 |
0.01 |
0.01 |
|
52 |
0.07 |
0.05 |
0.01 |
0.01 |
0.01 |
|
53 |
0.05 |
0.10 |
0.10 |
0.05 |
0.05 |
|
54 |
0.05 |
0.02 |
0.01 |
0.01 |
0.03 |
|
55 |
0.05 |
0.06 |
0.05 |
0.01 |
0.03 |
- Find the probability that X ≥ 53 and Y ≥ 53 (3Marks)
- Find the marginal distribution of X? (2marks)
- Find the marginal distribution of X?(2marks)
- Find the expected sales for September i.e. E(Y). (3 Mark)
- Find P(Y≥53 | X =55)
- Calculate the correlation coefficient of X and Y (6Marks)
Homework Answers
Answer #1
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