A) Choose a binomial probability experiment. You could flip a coin, or toss a basketball from the free throw line and see if you make the shot or miss, or choose another experiment where the outcome is a success or failure (only two possible outcomes.) 1) Make a guess about the probability of success before doing the experiment. 2) Repeat the experiment 50 times, and record the results. 3) Calculate the empirical probability of success, and compare it to your original guess. Were you close or were you far off? 4) Write a paragraph explaining how you did the experiment and comparing your results to your guess Use the results of the above question (A) Recall that you performed a binomial probability experiment 50 times. In Project #3, you will calculate a 99% Confidence Interval for the true probability of success, a 95% Confidence Interval, and a 90% Confidence Interval. Hints:- Suppose, you guessed that there would be 28 heads i.e. p=56%, So q= 44%. After the actual tossing of the coin, you got 24 heads. It means the actual probability deviates from the guess 56%. Now you do this interval with the given confidence level. Which of these intervals contain your original guess? None of them? All of them? Was your original guess accurate or inaccurate? Write a paragraph to explain