What distribution is appropriate for simulating the event of flipping a coin?
a. continuous uniform
b. triangular
c. binomial
d. discrete uniform
The random experiment of flipping a coin satisfies all the criterion of a Binomial experiment, and hence the Binomial distribution applies. Primarily, the Binomial experiment or Bernoulli trials assume independence between repeated trials of the experiment, viz. true here with probability of success, p = 0.5. The random variable X, defined as the number of Heads (or tails) obtained in n repetitions of the experiment using a fair coin, has the distribution
In general, if the coin is biased and has the probability to obtain a Head as p, then
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