Answer the questions in the screenshot below. Please ensure your answers are correct. Thank you!

3. Which of the following are true? If 2 events, A and B, are disjoint, then P(A or B) = P(A) + P(B) II. The probability of the intersection of 2 events is the sum of the probabilities of those events. III. The probability that an event will occur is 1-(the probability that the event will not occur). I and II only I and III only II and III only I, II, and III None of the above gives the complete set of true responses. 3. Choose an American household at random and record the number of vehicles they own. Here is a probability model if we ignore the few households that own more than 5 cars: Number of Cars 0 2 3 5 Probability .09 36 35 13 .05 .02 A housing company builds houses with two-car carriages. What percent of households have more cars than the garage can hold? A. 7% B. 13% C. 20% D. 45% E. 55% 4. Computer voice recognition software is getting better. Some companies claim that their software correctly recognizes 98% of all words spoken by a trained user. To simulate recognizing a single word when the probability of being correct is .98, let two digits simulate one word; 00 to 97 means "correct". The program recognizes words independently. To simulate the programs performance on 10 words, use the random digits: 60970 70024 17868 29843 61790 90656 87964 The number of words recognized correctly out of the 10 is: A. 10 B. 9 C. B D. 7 E. 6 4. Which of the following is true about dependent events? P(A B) = 0 P(A|B) = P(A) P(A|B) = P(B) P(A|B) = 1 None of these is true