After that, X independent fair coins are tossed and the number of heads obtained is denoted by Y. Compute: 1. P[Y = 4]. 2. P[X= 5 Y = 4]. 3. E[Y]. 4. E[XY].

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Problem 14.2. A fair die is tossed and its outcome is denoted by X, i.e.,
~ (1/6
Compute:
X~
After that, X independent fair coins are tossed and the number of heads obtained is denoted by
Y.
1. P[Y = 4].
2. P[X= 5 Y = 4].
3. E[Y].
4. E[XY].
2
3 4 5
1/6 1/6 1/6 1/6 1/6 1/6)
1/6).
Transcribed Image Text:Problem 14.2. A fair die is tossed and its outcome is denoted by X, i.e., ~ (1/6 Compute: X~ After that, X independent fair coins are tossed and the number of heads obtained is denoted by Y. 1. P[Y = 4]. 2. P[X= 5 Y = 4]. 3. E[Y]. 4. E[XY]. 2 3 4 5 1/6 1/6 1/6 1/6 1/6 1/6) 1/6).
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