(a)Find the mean and standard deviation of the sampling distribution of ?.

(b) What shape do you expect for the sampling distribution of ? and why?

(c) Find the probability that the sample proportion ? is greater than 74%.

(d) Find the probability that the sample proportion ? is within 0.02 of the population proportion.

N.B: this is all in one question. there is a scenario and questions. which considered as one question in our education system.