PROBLEM 2 Using StatCrunch to Compute Binomial Distribution Probability Problems Assume that the set of 20 responses that you created in Problem 1 was the result of randomly selecting 20 respondents (people) from the population that you have defined in Problem 1. In this case you can view the 20 values for Variable 1 (either "1"'s or "2"s) as values resulting from a binomial experiment where "success" is observing a "1" and "failure" is observing a "2". Assume that the proportion (or percentage) of "1"s that you created for Variable 1 in Problem 1 (based on the 20 sample values) is indeed "p" the true probability of success for the binomial experiments of any sample size from this population. Suppose you plan to conduct a new survey where you plan to randomly select 40 people (i.e. n=40) from the same population as you defined in Problem 1 and you will observe the number of successes relating to Variable 1. Assuming that "p" the probability of success equals the same proportion "p" that you observed from Problem 1, use StatCrunch to compute the following probabilities: Note: In all the following problems, n=40. Problem 2a Probability of observing a majority of successes? Once you have the appropriate StatCrunch window displayed showing your solution to Problem 2a, copy and paste this window to your Word solution file under the subheading Problem 2a. Problem 2b Probability of observing at most 15 failures? Once you have the appropriate StatCrunch window displayed showing your solution to Problem 2b, copy and paste this window to your Word solution file under the subheading Problem 2b. Problem 2c Probability of observing more than 20 successes AND less than 30 successes? Once you have the appropriate StatCrunch window displayed showing your solution to Problem 2c, copy and paste this window to your Word solution file under the subheading Problem 2c