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A pair of fair, six-sided dice are tossed independently of each other.

a) List the sample space of this experiment.

b) Define a random variable X to be the sum of the dice. Write down the probability mass function of X.

c) What is the probability that X is at most 4?

d) Given that X is at least 6, what is the probability that it is less than 10?

e) Define another random variable Y to be the maximum value of either die in the pair. Write down the probability mass function of Y.

f) Find the probability that Y is odd.

g) Find the expected value of Y. h) Find Var(-1.2Y + 4)

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91018154

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