In: Statistics and Probability
In its 2018 State of the First Amendment survey, the Freedom Forum Institute found that 40 percent of respondents could not recall any of the freedoms protected by the First Amendment. You decide to build a distribution for how many respondents could not recall any of the First Amendments. You take a random sample of 10 Americans. 1. What are the assumptions of a binomial distribution? Does this example match those assumptions? 2. What is the probability that the sample has exactly n successes, for n=1,2,3…10? 3. Plot the probabilities that were calculated in problem 2. 4. Find the probability that the sample has at least 5 successes. 5. Find the probability that the sample has at most 3 successes.