Random variable X may take value 0 or 1; Y may take value 1 or 2. The following Table shows the joint probability distribution of random variables X and Y.

		Y
		1	2
X	0	0.20	0.18
	1	0.22

Table: Joint probability distribution of X and Y. For example, the probability of X=0 and Y=1 is 0.20.

What is the value of the blank cell in the table?

(The next question will use the information from this question)

Use the information from the previous question to calculate the following quantities

(a) Marginal probability distribution of X

(b) The expected value, variance and standard deviation of X.

(c) Marginal probability distribution of Y

(d) The expected value, variance and standard deviation of Y.

(e) Conditional probability distribution of Y given X=1.

(f) The conditional expected value, conditional variance and conditional standard deviation of Y given X=1.