Question

Consider the probability distribution of the discrete random vector [X,Y] where X represents the number of...

  1. 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

  1. Find the probability that X ≥ 53 and Y ≥ 53 (3Marks)
  2. Find the marginal distribution of X? (2marks)
  3. Find the marginal distribution of X?(2marks)
  4. Find the expected sales for September i.e. E(Y). (3 Mark)
  5. Find P(Y≥53 | X =55)       
  6. Calculate the correlation coefficient of X and Y (6Marks)
Math   Statistics-And-Probability   
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