# Question

Let X be the number of heads when a fair coin is flipped four times.

a. Find the distribution of X and then use simulation to generate 1000 values of X.

b. Is the simulated distribution indicative of the given probability distribution? Explain why or why not.

c. Calculate the mean and standard deviation of the simulated values. How do they compare to the mean and standard deviation of the given probability distribution?

a. Find the distribution of X and then use simulation to generate 1000 values of X.

b. Is the simulated distribution indicative of the given probability distribution? Explain why or why not.

c. Calculate the mean and standard deviation of the simulated values. How do they compare to the mean and standard deviation of the given probability distribution?

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