1. Consider a sample of data S = where 0 denotes that the coin turned up heads and1 denotes that it turned {1,1,0, 1,0} created by flipping a coin x five times, up tails. (a) What is the sample mean for this data? (b) What is the sample variance for this data? (c) What is the probability of observing this data, assuming it was generated by flipping a coin with an equal probability of heads and tails (i.e. the probability distribution is p(x= 1) = 0.5, p(x = 0) = 0.5).

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1. Consider a sample of data S = {1,1,0, 1,0} created by flipping a coin x five times,
where 0 denotes that the coin turned up heads and1 denotes that it turned up tails.
(a) What is the sample mean for this data?
(b) What is the sample variance for this data?
(c) What is the probability of observing this data, assuming it was generated by
flipping a coin with an equal probability of heads and tails (i.e. the probability
distribution is p(x = 1) = 0.5, p(r = 0) = 0.5).
Transcribed Image Text:1. Consider a sample of data S = {1,1,0, 1,0} created by flipping a coin x five times, where 0 denotes that the coin turned up heads and1 denotes that it turned up tails. (a) What is the sample mean for this data? (b) What is the sample variance for this data? (c) What is the probability of observing this data, assuming it was generated by flipping a coin with an equal probability of heads and tails (i.e. the probability distribution is p(x = 1) = 0.5, p(r = 0) = 0.5).
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