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I need an answer by 4 pm ET. THANKS! 1. Let an experiment consist of three independent tosses of an unbiased coin. Let X be

I need an answer by 4 pm ET. THANKS!

1. Let an experiment consist of three independent tosses of an unbiased coin. Let X be the number of heads in all three tosses and let Y be the number of tails in the last two tosses.

(a) Find the sample space and the corresponding values of X and Y .

(b) Find the joint distribution in tabular form and verify that it is a valid joint pmf.

(c) Find the marginal distributions.

(d) Find the marginal means and variances.

(e) Find the correlation.

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