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Mass function

  1. Refer to Exercise 1.

a. Find the conditional probability mass function pY|X (y|0).

b. Find the conditional probability mass function pX|Y (x|1).

c. Find the conditional expectation E(Y | X = 0).

d. Find the conditional expectation E(X | Y = 1).

  1. Refer to Exercise 4.

a. The total number of assemblies that fail to meet specifications is X + Y.

b. Find µX+Y .

c. Find σX+Y .

d. Find P(X + Y = 3).

  1. Refer to Exercise 4.

a. Find the conditional probability mass function pY|X (y | 1)

b. Find the conditional probability mass function pY|X (y | 2)

c. Find the conditional expectation E(Y | X = 1).

d. Find the conditional expectation E(X | Y = 2).

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