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:
= 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.