A statistics teacher fills a large container with 1000 white and 3000 red beads and then mixes the beads thoroughly. She then has her students take repeated SRS of 50 beads from the container. After many SRSs, the values of the sample proportion of red beads are approximated well by a Normal distribution with a mean of 0.75 and standard deviation of 0.06.

(a) What is the population? Describe the population distribution.
(b) Describe the sampling distribution of p^. How is it different from the population distribution?