Question 3 (17.5 points) In one of Mendel's famous hybridization experiments, he expected that among 580 offspring peas, 25% of them would be yellow. Assuming Mendel did sample the 580 offspring peas with the expected probability of 25%, answer the following questions (do not use the binomial distribution to do parts d-h as you should approximate using the normal, use a normal table not a calculator command): a) Do you use the correction factor on this problem? (Answer either: Yes or No) b) What is the mean of the binomial distribution (unitsl)? c) What is the standard deviation of the binomial distribution (units and 4 decimal places)? d) What is the approximate probability that between 143 and 146, inclusive, of the offspring will be yellow? B) What is the approximate probability that less than 148 offspring will be yellow? f) What is the approximate probability that more then 158 offspring will be yellow? g) What is the approximate probability that at most 130 offspring will be yellow? h) What is the approximate, not exact probability that exactly 145 offspring will be yellow