Q2 Binary Events and Probabilities 10 Points A binary process A is one that has 2 possible outcomes, P(A) and P(A), so that P(A) + P(A) = 1. Let A and B be two binary processes, and P(A) = 0.5, P(A U B) = 0.7, and P(B|A) = 0.3. Enter answers to each question part below, and enter text and/or upload a file (pdf, image, code, Markdown) at the end of the problem in order to SHOW YOUR WORK Q2.1 a 5 Points a. What is the joint probability P(B n A), that is, P(notB & A)? Enter your answer hereQ1 Speeding Tickets 10 Points Switzerland and Finland have some of the world's most expensive maximum speeding tickets. Over a long weekend in August 2020, there were 3,243 speeding tickets issued in Zurich, Switzerland. The fine for each ticket depends on the speed of the car and the posted limit. In a random sample of these tickets, the distribution of ticket fines (in equivalent US dollars) is approximately normal, with mean @ = 240 and standard deviation o = 25. Enter answers to each question part below, and enter text and/or upload a file (pdf, image, code, Markdown) at the end of the problem in order to SHOW YOUR WORK Q1.1 a 3 Points a. Approximately what fraction of speeding fines is between 190 and 290? (enter a decimal value) Enter your answer hereQ1.2 b 3 Points b. Approximately what fraction of fines is less than 215? (enter a decimal value) Enter your answer here Q1.3 c 4 Points C. Estimate the 98th percentile of ticket fines. Enter your answer here Q1.4 Show your work 0 Points Enter any text (which can include LaTex expessions enclosed in double dollar signs $$ ... $$) here, or upload file(s), showing your work (or both). Enter your answer here