You flip a fair coin 5 times and record 1 if heads and -1 if tails. Let r be the sum of the realized values across the 5 flips. Let X be the random variable corresponding to the sum where X r. a) Calculate Er] = #x. b) Calculate var(X) = E[X²]- . c) Calculate var(X2).

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You flip a fair coin 5 times and record 1 if heads and -1 if tails. Let r be the sum of
the realized values across the 5 flips. Let X be the random variable corresponding to
the sum where X r.
a) Calculate Er] = x.
b) Calculate var(X) = E[X²]- .
c) Calculate var(X2).
Transcribed Image Text:You flip a fair coin 5 times and record 1 if heads and -1 if tails. Let r be the sum of the realized values across the 5 flips. Let X be the random variable corresponding to the sum where X r. a) Calculate Er] = x. b) Calculate var(X) = E[X²]- . c) Calculate var(X2).
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