Canvas Login Test 2 Data collected by the JAG polls suggests that 56.7% of Lilliputians prefer to eat their eggs from the thin end. (a) Suppose a simple random sample of 8 Lilliputians is taken. Is the use of the binomial distribution appropriate for calculating the probability that exactly 2 prefer to eat their eggs from the thin end? No, this follows the bimodal distribution Yes, there are 8 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome No, the normal distribution should be used No, the trials are not independent (b) Calculate the probability that exactly 2 out of 8 randomly sampled Lilliputians prefer to eat their eggs from the thin end. (please round to four decimal places) (c) What is the probability that exactly 3 out of the 8 Lilliputians do not prefer to eat their eggs from the thin end? (please round to four decimal places) (d) What is the probability that at most 5 out of 8 randomly sampled Lilliputians prefer to eat their eggs from the thin end? (please round to four decimal places) @ (e) What is the probability that at least 6 out of 8 randomly sampled Lilliputians prefer to eat their eggs from the thin end? (please round to four decimal places) (f) What number of Lilliputians is expected to prefer to eat their eggs from the thin end in a sample of 8? (Round to whole number) esc F1 2. 3 tv APR MacBook Air F2 F3 F4 F5 F6 8 1 2 N C 80 3