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Look at file.

The probability distribution tables for two random variables X and Y are given below:

:Tables in file:

Suppose X and Y are independent and P(X = 2an * dY = 1) = 0.2

What is the P(X = - 2)

Look at file. The probability distribution tables for two random variables X and Y-example-1
User Monique
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1 Answer

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In the given probability distribution tables, we are asked to find P(x=-2) when x and y are independent random variables. Since P(x=2, y=1) = 0.2, and x and y are independent, we can conclude that P(x=-2) would be the same as P(x=2), which is 0.2.

To find the value of P(x=-2), we need to use the fact that x and y are independent random variables.

From the probability distribution table, we see that P(x=2, y=1) = 0.2. Since x and y are independent, the probability of both events occurring is the product of their individual probabilities.

P(x=2, y=1) = P(x=2) * P(y=1)

From the table, we can see that P(y=1) = 0.1.So, 0.2 = P(x=2) * 0.1

To solve for P(x=2), we divide both sides of the equation by 0.1:


(0.2)/(0.1) = P(x=2)

2 = P(x=2)

Therefore, the probability of x being equal to 2 is 2.

However, we need to find P(x=-2), not P(x=2).

Since the random variables x and y are independent, the probability distribution of x is not affected by the values of y. Therefore, P(x=-2) would be the same as P(x=2).

So, the answer is (B) 0.2.

User Kyle Ward
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