An online poll reported that 20% of respondents subscribe to the “5 second rule”. That is, they would eat a piece of food that fell onto the kitchen floor if us was picked up within 5 seconds. Let’s assume this figure is accurate for the entire U.S Population, and we select 15 people at random from this population. Let F= the number of people in our sample of 15 who subscribe to the “5 second rule”. Subscribing to the 5 second rule as described above, is a binomial distribution.
(A) determine the probability that exactly 3 of the 15 people subscribe to the 5 second rule.
(B) find and interpret the mean
(C) find and interpret the standard deviation
(D) could you approximate this distribution as a normal distribution? Explain