Week 6 Class Assignment/Collaboration Exercises Est. Length: 1661:3900 Time Taken:56:02:45 Khalecl Abu Salameh: Attempt 1 Page 1: Options for a new car are as follows 1 2 3 Automatic transmission =A Sunroof=B Stereo with CD player=C: 4 5 5 Generally, 61% request A, 79% request B, 74% request C, 84% A or B, 90% A or C, 94% B or C, 98% A or B or C. Calculate the probabilities associated with each of the numbered areas in the illustration below: \fQuestion 2 (1 point) Let A and B be two events. We know that P(A)=0.3, P(B)=0.4, and P(A U B)=0.65. Are A and B independent? Yes O No Cannot be determined Question 3 (1 point) Let A and B form a partition on our sample space S, then which of the following are true? O AUB=S O AnB=0 O A and B are independent Both A. and B. are true All of the aboveQuestion 4 (1 point) Let A and B form a partition on our sample space S, then which of the following are true? A union B = S A intersection B = null set Both A & B are dependent All of the above Question 5 (1 point) Let A and B be two events. If A and B are mutually exclusive, then which of the following expressions is true? P(A U B) P(A) + P(B) OP(A) = P(B) = 0.5 Question 6 (1 point) If event A and event B are independent, then P(AnB)=P(A)P(B). True False