a)Assume a Binomial probability distribution with N=100 and p=0.4 given by:

P(x) = 100Cx * 0.4^x *0.6^(100-x)

Use Excel to plot the function P(x) vs x for values of x from 0 to 100.

Note that this is the number of successes in N=100 trials where the probability of success is 0.4 on each trial.

b)Consider the "Normal" or "Gaussian" or "Bell shaped" distribution given by the following formula:

f(x) =

For=NP=40 ands=, plot f(x) vs x for x from 0 to 100.

c)Compare the two plots (they should be virtually identical)

d)Read about the Central limit theorem athttps://en.wikipedia.org/wiki/Central_limit_theorem

Can you explain why the two curves match?