Suppose that Y and Z are random variables with Y~ Bernoulli(p) and Z = −Y + 1. Which of the following gives the joint probability mass function P(Y = y, Z = z) for y = 0, 1 and z = 0, 1?

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Question
Suppose that Y and Z are random variables
with Y~ Bernoulli(p) and Z =
+ 1.
Which of the following gives the joint probability
mass function P(Y = y, Z = z) for y = 0, 1
and z = 0, 1?
Select one:
O a. None of the other choices
—
O b. (1-y)zp+ y(1 − z)(1 − p)
-
-
O c.
(1-y)(1 z)p+yz(1 − p)
○ d.
yzp+ (1 −y)(1 — z)(1 − p)
-
O e. y(1-z)p+ (1 − y)z(1 − p)
-
Transcribed Image Text:Suppose that Y and Z are random variables with Y~ Bernoulli(p) and Z = + 1. Which of the following gives the joint probability mass function P(Y = y, Z = z) for y = 0, 1 and z = 0, 1? Select one: O a. None of the other choices — O b. (1-y)zp+ y(1 − z)(1 − p) - - O c. (1-y)(1 z)p+yz(1 − p) ○ d. yzp+ (1 −y)(1 — z)(1 − p) - O e. y(1-z)p+ (1 − y)z(1 − p) -
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