For a binomial distribution with n=20 trials and probability of success p=.05, we let r= number of successes out of 20 trials. Use the normal approximation to estimate P(6<=r<=12). How does this value compare with the corresponding probability obtained using the binomial table?

I already found the mean and standard deviation as well as the equivalent in X but I don't know what to do next because my table answers don't match the answer key. Help?

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