Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70%regularly consume at least one of these two products.(a) What is the probability that a randomly selected adult regularly consumes both coffee and soda?(b) What is the probability that a randomly selected adult doesn't regularly consume at least one of these twoproducts?

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Answered: Suppose that 55% of all adults…

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 study by the National Park Service revealed that 50 percent of vacationers going to the Rocky Mountain region visit Yellowstone Park, 40 percent visit the Grand textons. and 15% vists both. What is the probability that a vacationer visits two of these magnificent attractions? 0.25 0.90 0.56 0.15 0.65
3) Approximately 25 % of American men in their 50’s have prostate cancer. High levels of prostate specific antigens (PSA) in blood is used as a test for prostate cancer. Approximately 20% on men with prostate cancer have a normal PSA level and two out of three men without prostate cancer have high PSA levels. Calculate the probability that a PSA test on an American in his 50’s will result in a false positive.
An airline tracks data on its flight arrivals. Over the past six months, 70 flights on one route arrived early, 150 arrived on time, 15 were late, and 25 were canceled. What is the probability that a flight is early? On-time? Late? Canceled? Are these outcomes mutually exclusive? What is the probability that a flight is either early or on time? How can I calculate this problem in excel since it is business statistics?
Only 6% of people has 0-negative blood type. If a local blood drive has 100 donors, what is the probability that at least 10 of the 100 donors has O-negative blood?
5. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?
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?
Apparently, depression significantly increases the risk of developing dementia later in lift (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression. What is the probability of a person developing dementia? If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?
Suppose Emerson loses 26% of all checker games. (a) What is the probability that Emerson loses two checker games in a row? (b) What is the probability that Emerson loses five checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson loses five checker games in a row, but does not lose six in a row. (a) The probability that Emerson loses two chockor
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
6. An actuary studying the insurance preferences of automobile owners makes the following conclusions: (i) An automobile owner is twice as likely to purchase collision coverage as disability coverage. (ii) The event that an automobile owner purchases collision coverage is independent of the event that he or she purchases disability coverage. (iii) The probability that an automobile owner purchases both collision and disability coverages is 0.15. (a)Calculate the probability that an automobile owner purchases neither collision nor disability coverage. (b) Calculate the probability that an automobile owner purchases only collision coverage.
Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida drivers are involved in an accident, what is the probability that more than one of them are uninsured?

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