I need help with these questions.

2. (12 points) A previous research indicates that p = 12% eggs produced by Banana Egg Farm are Jumbo Grade. Suppose a random sample of n = 100 eggs is selected from the farm and let P represent the proportion of Jumbo Grade eggs in the sample. (a) We can assume that the sampling distribution of the sample proportion is normal because (i) the original population is normal; (ii) 11 is at least 30; (iii) p plus and minus 3 times the standard deviation of the sampling distribution are between 0 and 1. (b) Find the mean and standard deviation of the sampling distribution. (0) Use normal distribution to nd the probability that more than 10% of eggs in the sample are Jumb_