The probability that an automobile being filled with gasoline also needs an oil change is 0.35; the probability that it needs a new oil filter is 0.25; and the probability that both the oil and the filter need changing is 0.24. a) If the oil has to be changed, what is the probability that a new oil filter is needed? b) If a new oil filter is needed, what is the probability that the oil has to be changed?
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- 5. The probability that a regularly scheduled flight departs on time is P(D) = 0.81; the probability that it arrives on time is P(A) = 0.85; and probability that it departs and arrives on time is P(DNA) = 0.75. Find the probability that a plane i) Departed on time, given it has arrived on time. ii) Arrives on time , given that it departed on time iii) Departed on time, given has not arrived on time.A box of shoes contains a random mix of shoes that can be either left or right and can also be either red or black. Note: they are not in matched-pairs! The probability of a shoe being both left-footed and black is 0.35. The probability of a shoe being black is 0.59 and the probability of a shoe being right-footed is 0.36. a) a. What is the probability of a shoe being red? b. What is the probability of a shoe being right-footed and black? C. What is the probability of a shoe being right-footed and red? d. What is the probability of a shoe being left-footed and red? b) = c) = d) =The probability that a young person exposed to a virus will contract it is known to be 0.4. The probability that the tenth young person studied is the third to contract the virus is: a) 0.9420 b) 0.0297 c) 0.9355 d) 0.0645
- 10. The probability of a vehicle arriving at the gallery with Istanbul license plate is 0.12; probability of being a caravan is 0.28; and the probability of a caravan with Istanbul license plates is 0.09. What are the following possibilities: a) The probability that a caravan arriving at the gallery has Istanbul license plates; b) The probability that a vehicle with Istanbul license plate arriving at the gallery is a caravan; c) The vehicle that comes to the gallery does not have an Istanbul license plate or does not have a caravan possibility of.The probabilities that an adult man has high blood pressure and/or high cholesterol are shown in the table. a) What's the probability that a man has both conditions? b) What's the probability that he has high blood pressure? c) What's the probability that a man with high blood pressure has high cholesterol? What's the probability that a man has high blood pressure if it's known that he has high cholesterol? Blood Pressure D High OK High 0.16 0.28 OK 0.16 0.40 重 a) The probability that a man has both conditions is (Round to three decimal places as needed.) es b) The probability that a man has high blood pressure is| (Round to three decimal places as needed.) pols > c) The probability that a man with high blood pressure has high cholesterol is (Round to three decimal places as needed.) d) The probability that a man has high blood pressure if it's known that he has high cholesterol is (Round to three decimal places as needed.) (1,1) More Enter your answer in each of the answer boxes. Next…One person in a stadium filled with 100,000 people is chosen at random to win a free pair of airline tickets. What is the probability that it will not be you? A) The probability that it will not be you is 0.999, because the probability that you win is 0.001, and the probability that you do not win is the opposite of that. B) The probability that it will not be you is 0.999999, because the probability that you win is 0.000001, and the probability that you do not win is the opposite of that. C) The probability that it will not be you is 0.99, because of all the possible events, there are 99 scenarios in which you do not win. D) The probability that it will not be you is 1 in 100,000, because of all the possible events, there is only one scenario in which you do not win. E) The probability that it will not be you is 0.9999, because of all the possible events, there are 9,999 scenarios in which you do not win. F) The probability that it will not be you is…
- The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that a person owns both a car and a laptop is 0.35. If a person is selected at random, a) Find the probability that the person owns either a car or a laptop. b) Find the probability that the person has a laptop given that he has a car also. c) Find the probability that the person has neither a car nor a laptop. d) Show that the events 'own a car' and 'own a laptop' are not independent.10) In a particular class (in another department) the statistics of scores on two midterms and one final revealed the following facts: a) The probability to pass the final is 1/2 b) The probability to pass the final – given that both midterms were passed– is 3/4/. c) The probability to pass the final – given that at least one of the midterms was flunked– is 1/4..d) Passing the first and second midterm are independent events with equal probability. Based on the above information, compute the probability of passing the first midterm.How would you write a.) The probability that more than 44 crashes occur today b.) The probability that less than 42 crashes occure today c.) The probability that between 42 and 44 crashes occur today
- Last semester, a certain professor gave 21 As out of 330 grades. If one of the professor's students from last semester were selected randomly, what is the probability that student received an A? (Assume that each student receives one grade.)An unreliable company produces a large shipment of blenders where 13% have a defective motor, and 25% have a defective electrical cord and 5% have both defects. If you randomly select a blender in this shipment, find the probability that it has... a) only a defective electrical cord. Write your answer as a percent rounded to 1 decimal place. b) a good motor. Write your answer as a percent rounded to 1 decimal place. c) a good motor and a good electrical cord. Write your answer as a percent rounded to 1 decimal place.Delta Airlines' flights from Boston to Dallas are on time 60 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded.1.The probability that at least 9 flights are on time is =2.The probability that at most 8 flights are on time is =3.The probability that exactly 12 flights are on time is =