10:12 Doll LTE Business Analytics Homework 3-Probability and Probability Distribution. Total Points: 100 Due Date: 03/01/2022 1. Lauren drinks a variety of soft drinks. Over the past month, she has had 17 diet colas, 3 cans of lemonade, and 5 cans of root beer in no particular order or pattern. a. Given this history, what is the probability that her next drink will be a diet cola? Lemonade? Root beer? b. What definition of probability did you use to answer this question? 2. An airline tracks data on its flight arrivals. Over the past six months, 70 flights on one route arrived early, 150 arrived on time, 15 were late, and 25 were canceled. a. What is the probability that a flight is early? On time? Late? Canceled? b. Are these outcomes mutually exclusive? c. What is the probability that a flight is either early or on time? 3. A Canadian business school summarized the gender and residency of its incoming class as follows: Residency Gender Canada United States Europe Asia Other Male 125 18 17 50 8 Female 103 10 92 4 a. Construct a joint probability table. b. Calculate the marginal probabilities. c. What is the probability that a female student is from outside Canada or the United States. 4. The weekly demand of a slow-moving product has the following probability mass function: Demand, x Probability, f(x) o 0.2 0.4 N 0.3 0.1 4 or more 0 Find the expected value, variance, and standard deviation of weekly demand. 2 AA Ontent.blackboardcdn.com C m