Question: Plotting Probability Distribution

I need to plot the probability distribution function

f(x) = n!/(x!*(n-x)!*(2^(n))).

Can I just plot this as any other function using the various plot commands, or is there some statistics package option specially made for this?

Also can this distribution help me answer the question of obtaining the probability that the fraction of heads for 10, and 100 total coin tosses will be between 0.445 and 0.555?

 

 

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