In: Statistics and Probability
STAT15_2:
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?