STAT15_2: (Please resolve all sections, each section separately, without using Excel software) Arad has 9 different...

STAT15_2:

(Please resolve all sections, each section separately, without using Excel software)

Arad has 9 different pairs of socks in the drawer - 6 of which are dark and 3 are bright. He removes two pairs of random socks from the drawer. Define the following random variables:
X - The number of pairs of dark socks that Ard issued.
Y - Receives the value 1 if the two pairs removed are dark or both light and the value 2 if one pair is dark and the other bright.

A. Find the joint probability function of X and Y and the marginal probability functions.
B. Are X and Y uncoordinated? Are they independent?
C. At least one pair of socks removed is known to be bright. What is the probability that a pair of dark socks was taken out?

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Expert Solution

orchestra answered 1 year ago

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