Suppose that the probability of a convicted shoplifter repeating the crime within 5 years is .30, Of 200 convicted shoplifters, what is the probability that at least 65 will shoplift again during the next fiveyear period? Hint: This is not an easy problem as it requires using the normal approximation to the binomial here First, using the "shortcuts" for the binomial distribution to calculate its mean and standard deviation. You will then have to assume that your normal distribution is characterized by the same set oi parameters Second, I recommend using our Excel "distributions" file to calculate the probability (it will be the "tail" probability since the questions says "at least") Third, while doing the previous step, use the "approximation" which says that you need to "start" your tail not at 85 but at 645