Estimate the mean and variance of x

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Reference no: EM131938806

Let X denote the number of heads obtained when a fair coin is tossed four times.

(a) What is E[X] and Var X?

(b) Perform the experiment of tossing a fair coin four times and recording the number of heads obtained 10 times. You thus obtain a random sample of size 10 from a binomial distribution with n = 4 and p = 1.

(c) Based on your 10 observations, estimate the mean and variance of X. Compare your answers to those of your classmates. Do the observed values of X fluctuate about the theoretical mean of 2? Do the observed values of S2 fluctuate about the theoretical variance of 1?

(d) Average the values of X that you have available. Is the average value close to 2? Average the values of S2 that you have available. Is the average value of S2 close to 1?

Reference no: EM131938806

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