This problem from a Biostatistics class.. please i need answers for question 3 all the parts "a,b,c,d,e,f,g" ... and show work and steps for all of them.. thank you!

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 ques- tions (do not use the binomial distribution to do parts c-g as you should approximate using the normal): (a) What is the mean of the binomial distribution? (b) What is the standard deviation of the binomial distribution? (c) What is the approximate probability that between 143 and 146, inclusive, of the offspring will be yellow? (d) What is the approximate probability that less than 148 offspring will be yellow? (e) What is the approximate probability that more then 158 offspring will be yellow? (f) What is the approximate probability that at most 130 offspring will be yellow? (g) What is the approximate probability that exactly 145 offspring will be yellow