2. A CNN poll asked a random sample of 1500 US high schoolers if they wash their hands after using the restroom. Define p(hat) as the proportion of high school students who do not wash their hands after using the restroom. Suppose that the proportion of all high schooler that do not wash their hands after using the restroom is 48%. a. What is the mean of the sampling distribution p(hat)?
b. Find the standard deviation of p(hat). Make sure the 10% condition is met. (n≤1/10N)
c. Is the sampling distribution approximately Normal? Make sure the Large Counts Condition is met.

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.

What is the interquartile range (iqr) of the data set represented by this box plot?