answers please

1. According to a poll, 22% of high school students in the United Kingdom say that Dobby is their favorite character in the Harry Potter books. Let's assume this is the parameter value for the entire population of high school students in the U.K. You take a sample of 150 high school students and record the proportion, p, of individuals in your sample who say Dobby is their favorite character. a. What are the mean and the standard deviation of the sampling distribution of p? b. Interpret the standard deviation of the sampling distribution of p. c. In your sample of 150 students 30% say that Dobby is their favorite character. If 22% is the true value of the proportion, find the probability that the sample will yield a result of 30% or more