A statistics teacher fills a large container with 1000 white and 3000 red beads and then mixes the beads thoroughly. She then ha
s 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?