6. Probability of obtaining heads in a specific coin flip is a random variable, A. B is a random variable that takes value of 1, if the coin toss results in a head, and 0 if coin toss results in a tail. (2a 0< a<1 fA(a) = {0 otherwise a. Find the mean and variance of B. b. Find the correlation coefficient of A and B. c. Find the conditional falB (a, 1).

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6. Probability of obtaining heads in a specific coin flip is a random variable, A. B is a random
variable that takes value of 1, if the coin toss results in a
head, and 0 if coin toss results in a tail.
(2a
0 < as1
fA(a) = {0 otherwise
a. Find the mean and variance of B.
b. Find the correlation coefficient of A and B.
c. Find the conditional faB (a, 1).
Transcribed Image Text:6. Probability of obtaining heads in a specific coin flip is a random variable, A. B is a random variable that takes value of 1, if the coin toss results in a head, and 0 if coin toss results in a tail. (2a 0 < as1 fA(a) = {0 otherwise a. Find the mean and variance of B. b. Find the correlation coefficient of A and B. c. Find the conditional faB (a, 1).
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