A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var {Y}, where var{.} denotes the variance, equals.

A person decides to toss a fair coin repeatedly until he gets a head.

1.	A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var {Y}, where var{.} denotes the variance, equals.
A.	\(\frac{7}{8}\)
B.	\(\frac{{49}}{{64}}\)
C.	\(\frac{7}{{64}}\)
D.	\(\frac{{105}}{{64}}\)
Answer» D. \(\frac{{105}}{{64}}\)

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A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var {Y}, where var{.} denotes the variance, equals.

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