Let a chip be taken at random from a bowl that contains six white chips, three red chips, and one bluechip. Let the random variable X = 1 if the outcome is a white chip, let X = 5 if the outcome is a red chip, and let X = 10 if the outcome is a blue-chip.
(a) Find the pmf of X.
(b) Graph the pmf as a line graph.
Let a chip be taken at random from a bowl that contains six white chips, three red chips, and one bluechip. Let the random variable X = 1 if the outcome is a white chip, let X = 5 if the outcome is a red chip, and let X = 10 if the outcome is a blue-chip.
(a) Find the pmf of X.
(b) Graph the pmf as a line graph.
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You are given a fair die, i.e. the outcomes of any throw are contained in the sample space 
(a) Derive the joint pdf of X and Y. Provide this in the form of a table
Y=0 Y=1
| X=0 | ||
| X=1 |
b) What is the marginal probability distribution of Y?
(c) What is the conditional probability distribution of X, given that Y = 1?
(d) What is E (X|Y = 1)?
(e) What is Cov (X, Y )?
(f) Are X and Y independent random variables?
