Question 6 - 8 (1 + 1 + 1 = 3 marks) 6 b 8 A weather forecaster has constructed the following contingency table to investigate how often his predictions of rain in the previous three months were correct. Use the next table to answer the three following questions Predicted Predicted Total rain no rain No rain 23 6 29 Rain 3 5 8 Total 26 11 37 One prediction is selected at random. Let A be the event that the forecaster predicted rain, and let B the event that is No rain. 6. What is P (A)? A 0.62 B 0.70 C 0.79 D 0.88 7. What is P (An B)? A 0.88 b 0.60 C 0.62 D 0.70 8. What is P (A | B)? A 0.16 B 0.38 C 0.39 D 0.79 Question 9 - 10 (1+ 1 = 2 marks) 9 10 A survey was undertaken in one particular suburb in Sydney on whether someone is using "Uber eat" service on a daily basic (B), and the following information was found. 40% of those surveyed are married (A), 60% of the married surveyed use the service "Uber Eat" (B | A), and 50% of the no married surveyed use the service "Uber Eat" (B | A'). If one of the surveyed is selected at random, 9 . What is the probability that someone A 0.24 B 0.40 C 0.54 use the service "Uber Eat" P(B)? D 0.30 10. What is probability that the customer A 0.30 B 0.60 C 0.53 D 0.50 do not use Uber eat given that is not married