4. (9 points, 3 points each) A national survey in 2021 found that 42% of people plan to travel to visit family at some point during the summer. A random sample of 200 people was taken and they were asked whether or not they planned to travel to visit family at some point during the summer. Utilize a binomial distribution to answer the following questions. Round your answer to 3 decimal places and use proper probability notation. a. Find the probability that the majority of the 200 people sampled plan to travel to visit family during the summer. b. Based on the data provided, how many people from the sample would you expect to travel to visit family for the summer? c. Find the probability that no more than 86 of those included in the sample plan to travel to visit family for the summer