3.At a certain gas station, 40% of the customers use regular gas, 35% use plus gas, and 25% usepremium. Of those customers using regular gas, only 30% fill their tanks. Of those customers usingplus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank?b. What is the probability that the next customer fills the tank?C.If the next customer fills the tank, what is the probability that regular gas is requested? Plus?Premium?

Answered: Image /qna-images/answer/f23d973f-a183-473f-9341-1c695a449d20.jpg

Answered: 3. At a certain gas station, 40% of the…

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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A recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. Assuming these two events are independent, what is the probability that a randomly selected college student has neither a dog nor HBO?
On most social media platforms, 64% of all ads are targeted ads. Ad-blockers attempt to block such targeted ads before they are delivered to the user. One such ad-blocker has a 42% chance of blocking an ad if it is actually targeted, and a 19% chance of blocking an ad that is not targeted. a. If an ad is blocked by the ad-blocker, what is the probability that it was not a targeted ad? b. If the user is served an ad which was not blocked, what is the probability that it was targeted?
A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If eight participants are evaluated, what is the probability that: At most, six participants consume caffeine and smoke?
1. Researchers are interested in the relationship between vaping and upper respiratory infections. Suppose that 15% of their population of interest has vaped in the past year and 25% have had an upper respiratory infection in the past year. In addition, they know that 10% have both vaped and had an upper respiratory infection in the past year. What percent of the population has neither vaped nor had an upper respiratory infection in the past year? b. What is the probability of having an upper respiratory infection in the past year given that the person has vaped in the past year? What is the complement of the event in part b)? Be sure to interpret this probability in the context of the problem. a. C. d. What is the probability of having an upper respiratory infection in the past year given that the person has not vaped in the past year? Are the two events independent? Be sure to justify your answer. Based on your calculations what can you conclude about the relationship between vaping…
A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?
Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise. What is the probability that an employee will have a cold next year? Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year? What is the probability that an employee who is not involved in an exercise program will get a cold next year? Are exercising and getting a cold independent events? Explain your answer."
According to recent passport data, the percentage of people in a particular country who have a passport has risen dramatically. In 2007, only 30% of the country's citizens had a passport; in 2017 that percentage had risen to 45%. Assume that currently 45% of the citizens have a passport. Suppose 45 citizens of the country are selected at random. ... a. Find the probability that fewer than 18 have a passport. The probability that fewer than 18 have a passport is (Type an integer or decimal. Round to three decimal places as needed.)
A Fast Food restaurant gives a discount to anyone who finishes their food in under 5 minutes. 44% of the restaurant' s customers choose to eat a Burger, 28% choose a bowl of Pasta, and the rest choose a Salad dish. In the last month, 18% of Burger-eating customers, 11% of Pasta-eating customers, and 20% of Salad-eating customers achieved the discount. a. What is the probability of a customer choosing to eat Salad and achieving the discount? Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the probability of a randomly chosen customer achieving the discount. Answer in exact fraction, or rounded to at least 4 decimal places
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will run out of any three fuel types in a week are 0.10, 0.16 and 0.24, respectively. These probabilities are statistically independent. Also, if there is a shortage of diesel, the probability of a shortage of premium becomes 0.25. 1. How likely is the station to run out of all three fuels in a given week? 2. What is the probability that if regular runs out, both premium and diesel will also run out? 3. What is the probability that the station will run out of at least one of either premium and diesel? 4. What is the probability that the station will run out of at least 2 of the fuels in a week?
The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?
A car manufacturer produces both sedan and SUV vehicles. The probability that a customer will purchase a sedan vehicle is 0.75. Of those that purchase sedan vehicle, 60% also purchase extended warranty. But only 30% of SUV vehicle buyers purchase extended warranty. A randomly selected buyer purchases extended warranty and a vehicle. What is the probability that the purchased vehicle is sedan?

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