Lessons 3 & 4: Probability NAME Answer the following questions showing all work. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board. 1. Open the dataset SUMMER16STDATA.MTW in Minitab Express. Unless otherwise noted, assume that the population of interest all of the students who responded to this survey. (70 points) A. Make a contingency table for the biological sex and dieting variables. Copy + paste it here. B. Compute P(Have a Dog) C. Compute P(PA Resident) D. Are the values that you computed in parts B and C subjective or relative frequency probabilities? Explain why. E. What are the odds that a randomly selected student will be currently dieting to lose weight? F. Compute the union of having a dog and being a PA resident G. Compute the intersection of having a dog and being a PA resident H. Compute the probability that someone has a dog given that they are a PA resident I. Compute the probability that someone has a dog given that they are not a PA resident J. Make a contingency table for the PA resident and summer sport variables. Copy + paste it here. K. Interpret the phrase L. Compute the value of Lessons 3 & 4: Probability NAME 2. In the United States, 16.5% of people speak Spanish, 97.0% of people speak English, and 11.3% of people speak both English and Spanish. (30 points) A. Are speaking English and speaking Spanish independent events? Show the calculations that you used to determine this. B. Are speaking English and speaking Spanish disjoint events? Why or why not? C. What is the probability that a randomly selected person in the United States speaks Spanish or English? D. What is the probability that a randomly selected person in the United States speaks both Spanish and English? E. Given that someone does not speak Spanish, what is the probability that he or she speaks English