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In Exercises 11–16, fill in the blanks using the named events.
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- Suppose that E and F are two events and that P(E and F)=0.1 and P(E)=0.5. What is P(F|E)?arrow_forwardZane is examining two studies involving how different generations classify specified items as either luxuries or necessities. In the first study, generation A is defined to be people ages 18–29. The second study defined generation A to be people ages 22–33. Zane notices that the first study was conducted in 2002 while the second one was conducted in 2006 (a) According to the 2002 study, what are the birth years of generation A? The Sand Canyon Archaeological Project, edited by W. D. Lipe and published by Crow Canyon Archaeological Center, contains the stem-and-leaf diagram shown below. The study uses tree rings to accurately determine the year in which a tree was cut. The figure gives the tree-ring-cutting dates for samples of timbers found in the architectural units at Sand Canyon Pueblo. The text referring to the figure says, "The three-digit numbers in the left column represent centuries and decades A.D. The numbers to the right represent individual years, with each number derived…arrow_forwarda. In CSE230, there were 2 assignments this semester. The probability that you would NOT get above average marks in the first and the second assignments are 0.3 and 0.4 respectively. But if someone does NOT get the above average marks in the first assignment, the probability of NOT getting above average marks in the second assignment becomes 0.6. What is the probability of NOT getting above average marks in both the assignments? b. In a rational world, husband and wife are arguing over a matter. The probability of the husband being Wrong is 0.15 and the probability of the wife being Wrong is 0.13. And the probability of husband being Wrong provided that wife is Wrong is 0.18. What is the probability that the wife is Wrong provided that the husband is Wrong?arrow_forward
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- A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.35, P(D) = 0.82 and P(B AND D) = 0.13. Find P(B|D). Give your answer as a decimal rounded to the nearest hundredtharrow_forwarda. In CSE230, there were 2 assignments this semester. The probability that you would NOT get above average marks in the first and the second assignments are 0.3 and 0.4 respectively. If someone gets the above average marks in the first assignment, the probability of getting above average marks in the second assignment becomes 0.9. What is the probability to get above average marks in both the assignments? b. In a rational world, husband and wife are arguing over a matter. The probability of the husband being Wrong is 0.2 and the probability of the wife being Wrong is 0.22. And the probability of husband being Wrong provided that wife is Wrong is 0.17. What is the probability that the wife is Wrong provided that the husband is Wrong?arrow_forwardBetween 5:00 pm and 6:00 pm, cars arrive at a McDonald’s drive-thru at the rate of 20 cars per hour. The following formula from probability can beused to determine the probability that x cars will arrive between 5:00 pm and 6:00 pm.P(x) = (20xe-20)/x! wherex! = x . (x - 1) . (x - 2) . g. 3 . 2 . 1(a) Determine the probability that x = 15 cars will arrive between 5:00 pm and 6:00 pm.(b) Determine the probability that x = 20 cars will arrive between 5:00 pm and 6:00 pm.arrow_forward
- The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b. Independent c. Disjoint d. Dependentarrow_forwardSide-by-Side The battery manufacturer Varta sells a car battery with 800 Find the probability that 9 or fewer cars will start. cold-cranking amps and advertises great performance even in bitterly cold weather. Varta claims that after sitting on a (Use decimal notation. Use Appendix Table 1. Give your answer to four decimal places.) frozen Minnesota lake for 10 days at temperatures below 32°F, this battery will still have enough power to start a car. Suppose the actual probability of starting a car following this experiment is 0.75, and 15 randomly selected cars probability: (equipped with this battery) are subjected to these grueling conditions.arrow_forwardSuppose 85% of a certain product actually satisfies the requirement, and we have 25 of such products. Let X be the number of products that satisfy the requirement. What is the chance 11 satisfy the requirement?arrow_forward
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