12. We can now compare that to the exact answer based on the binomial probabilities. What is the correct binomial probability of obtaining between a and b defective parts? (Hint: if the normal approximation is good, the exact number should be close to 0.95.) To see if this is the case, use the following: P (a < Y < b) = P (Y < b) P (Y < a) Here, we use the Excel functions P (Y < a) = BINOM.DIST(a,100,0.1,TRUE) for the lower bound a and P (Y < b) = BINOM.DIST(b,100,0.1,TRUE) for the upper bound b since the true binomial probabilities are a pain to calculate by hand.

13. Now that you have your normal approximation for Y , what is the probability that, out of the lot of 100 parts, there will be between 10 and 13 defects?

Please show all the work while providing your answer. Please don't restrict to just explaination