Question

Knowing that events X and Y are statistically independent, find the value of A Y=0 Y=1...

Knowing that events X and Y are statistically independent, find the value of A

Y=0 Y=1 Marginal probability of X
X=0 0.5+A 0.3-A
X=1 0.1 0.1
Marginal probability of Y 1
0 0
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Answer #1

This question is based on the independence of two random variables.

The Joint probability distro, butonrf Χ and given as- marginatL 0.I 0 2 Marginal probabilite 10-6-t A | 0,4-AI i independentwmust have Now, P 0.5 t ASo, we m ust Jet ラ (0.5+A) So, puting, A10 in the tal l eet 0, 8 0.2 2. margin aし Ơbserw e that , and, P (x o04 P(.FC PG-)-0.8, P (%) = o. 5-So indep ende mec o, a从the conditions betw we en X and y are satsdied 11, 2Hence, we have,仄-0101

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