8. 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 thefilter 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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Answered: The probability that an automobile…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The chart below summarizes data related to the number of cars stopped for speeding on Route 195. The chart shows whether the driver being stopped was a teenager or older, and whether the result of the stop was a ticket, written warning, or verbal warning. a) For a randomly selected traffic stop, what is the probability that the result of the stop was a ticket? b) For a randomly selected traffic stop, what is the probability that the driver was a teenager and given a written warning? c) For a randomly selected traffic stop, what is the probability that the car stopped was given a ticket or the driver was 20 or older?
Probability of taking route 1 is 30% and taking route 2 is 70%.The probability of being late to the meeting is 5% under the condition that route 1 is taken and 10% when route 2 is taken.a) Calculate the probability that he/she is late for the meeting.b) Given that he/she is late for the meeting, what is the probability that he/she used route 1?
At a certain state court the jury will convict a defendant if at least 8 out of 12 jurors support a “guilty” verdict. The jurors determined their verdict independently from each other. The probability that each juror will get the “right” decision is 0.8 (which means to convict when the defendant commit the crime and to acquit when he didn’t). a) Find the probability of convicting an innocent person.b) Find the probability of acquits a guilty person.c) Assume that 25% of the defendants in the state are innocent. In a certain year 200 people put on trial. What is the expected value and variance of the number of cases in which juries got the right decision?
The probability that a married man watches Ang Probinsyano is 0.4, and the probability that a married woman watches Ang Probinsyano is 0.5. The probability that a man watches that show, given that his wife does, is 0.7. Find the probability that (a) a married couple watches Ang Probinsyano; (b) a wife watches Ang Probinsyano, given that her husband does; and (c) at least one member of the married couple will watch Ang Probinsyano.
Ken is considering entering a local fishing tournament, but his choice to enter depends somewhat on whether his rival, Billy, will enter the same fishing tournament. Ken thinks that he has a 0.40 probability of winning the fishing tournament if Billy does not enter the tournament, and a 0.15 probability of winning if Billy does enter the fishing tournament. If the probability that Billy enters the fishing tournament is 0.30, a) find the probability that Ken wins the fishing tournament. b) If Ken does not win the fishing tournament, what is the probability that Billy did not enter the tournament?
a) what is the probability that neither hits the bullseye b) the probability that Adam hits the bullseye and Sandy doesn’t
a) In a pastry shop in a small town, the probability that a customer buys apple tarts is 0.45, the probability they buy an apple pie is 0.69 and the probability that they buy both an apple tart and an apple pie is 0.27. A customer is chosen at random. i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they also buy an apple tart?
1. a.) What is the probability that A or B occurs? b.) What is the probability that A and B occurs? c.) What is the probability that A or B does not occur?
The probability of a student succeeding in statistics is 0.6, the probability of him succeeding in anatomy is 0.2, and the probability of him succeeding in statistics when he has succeeded in anatomy is 0.7, so the probability of him succeeding in anatomy if he succeeds in statistics is: * O 0.24 O 0.23 O 0.26
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.
American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =
A corona virus is spreading through a city. A vaccination is available to protect against the virus. If a person has had the vaccination, the probability of catching the virus is 0.1; without the vaccination, the probability is 0.3. The probability of a randomly selected person catching the virus is 0.24. The probability that a randomly chosen person has been vaccinated is a) 0.55 b) 0

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