Repeat 10 times the experiment of tossing a fair coin 4

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Let X denote the number of heads obtained when a fair coin is tossed 4 times.

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

(b) Repeat 10 times the experiment of tossing a fair coin 4 times and recording the number of heads obtained. You thus obtain a random sample of size 10 from a binomial distribution with 4 trials and p = 1/2. Write down the ten numbers.

(c) Based on your ten observations, estimate the mean and variance of X. Are your estimates close to the theoretical values in part (a)?

Reference no: EM13608509

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