Determine whether the following is a probability distribution of a random variable X.

X	0	1	2
P(X)	0.6	0.1	0.2

An unbiased die is rolled. If the random variable X is defined as
X(w) = {1, the outcome w is an even number    
{0, if the outcome w is an odd number
Find the probability distribution of X.

Two eggs are drawn at random without replacement from a bag containing two bad eggs and eight good eggs. Find the probability of getting two bad eggs?

A random variable X has the probability mass function

X	-2	3	1
P(X=x)	\(\frac{k}{6}\)	\(\frac{k}{4}\)	\(\frac{k}{12}\)

then find k

A discrete random variable. X has the following probability distribution

X	0	1	2	3	4	5	6	7	8
P(X)	a	3a	5a	7a	9a	11a	13a	15a	17a

Pind the value of a and P(X< 3)