Question

What distribution is appropriate for simulating the event of flipping a coin? a. continuous uniform b....

What distribution is appropriate for simulating the event of flipping a coin?

a. continuous uniform

b. triangular

c. binomial

d. discrete uniform

Homework Answers

Answer #1

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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