2. We are interested in analyzing data related to spring break travel. Use Y to denote someone is planning to travel for spring break (Yes-Y) and use C to denote they would travel via car. The probability that someone plans to travel for spring break is 89%. The probability that they would travel by car is 62%. The probability that they plan to travel for spring break and would travel by car is 54%. a. What percentage of people plan to travel for spring break OR would travel by car? b. What percentage of students are planning to travel for spring break and would NOT travel by car? c. Given someone is planning to travel for spring break, what is the probability that they are traveling by car? d. What percentage of people are NOT planning to travel for spring break? e. Are Y and C mutually exclusive events? Why or why not? f. Are Y and C independent events? Explain, using probabilities. g. If we know someone would plan to travel by car, what is the probability that they plan to travel for spring break? 3. Similarly to #2, we are curious to study what activity they would do on spring break. We know that 37% of people would plan to go to a beach. Assume we take a sample of 6 people. a. How many people out of the sample of 6 would you expect to travel to a beach? b. What is the standard deviation? c. What is the probability that exactly 2 people will travel to a beach for spring break? d. What is the probability that more than 2 people will travel to a hatch for rnrin