A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic flaws andmust be classified as "seconds."(a) Among nine randomly selected goblets, how likely is it that only one is a second?(b) Among nine randomly selected goblets, what is the probability that at least two are seconds?(c) If goblets are examined one by one, what is the probability that at most five must be selected to find fourthat are not seconds?

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Answered: A company that produces fine crystal…

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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8. A surgical technique is performed on seven patients. You are told there is a 60% chance of success. Find the probability that the surgery is successful for (a) exactly five patients, (b) at least five patients, and (c) at most two patients.
6. A survey by Altgeld Travel Magazine found that 85% of airline passengers prefer to sleep during their flights. Ifwe randomly select 9 passengers, what is the probability that…. (a) Exactly 8 passengers prefer to sleep during their flights? (b) 8 or more passengers prefer to sleep during their flights?
21. A survey involving 600 Democrats, 400 Republicans and 200 Independents asked the question: "Do you favor or oppose eliminating taxes on dividends paid to shareholders?" The following results were obtained: Answer Democrats, % Republicans, % Independents, % Favor 29 66 48 Орpose 71 34 52 What is the probability that a person selected at random from this survey answered "favor"?
An airline company is considering a new policy of booking as many as 354 persons on an airplane that can seat only 330. (Past studies have revealed that only 89% of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 354 persons. not enough seats will be available.
1. The test contains four questions, and there are five different answers to each of them, of which only one is correct, the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answer? (PERCENTAGE FORMAT) 2. At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the university is a male in the business faculty? b. What is the probability that a student selected at random in the university is male or is in the business faculty? c. What percentage of males are in the business faculty? (PERCENTAGE FORMAT)
1. In a candy jar, there are 20 blueberry and 12 cherry gumballs. If you randomly select two gumballs from this jar, what is the probability that both of them are the same flavor?Round your answer to 3 places after the decimal point, if necessary; or enter your answer as a fraction. 2. In the manufacturing division of a particular company, there are 79 managers and 38 supervisors. If two employees from the manufacturing division are randomly selected to represent the company at an upcoming conference, what is the probability that both employees have the same job title?Round your answer to 3 places after the decimal point, if necessary; or enter your answer as a fraction. 3.
(This is a introduction to statistics course) From past records, a department store finds that 70% of the people who enter the store will make a purchase on Black Friday. Suppose that 3 customers are randomly selected at the store, answer the following questions: 1) What is the chance that exactly one out of three customers make a purchase? Give your answer (%) rounded to one decimal place. (For example, if your answer is 0.5125 (51.25%), then it will be 51.3% after being rounded to one decimal place.) 2) Explain clearly.
3. Assume that 12% of people are left-handed. You are trying to find 3 left-handed individuals to interview for an article. Assuming that everyone you approach is willing to be interviewed ... a) what is the probability that you need to approach exactly 6 people to find 3 left-handed individuals? b) what is the probability that you need to approach 6 or more people to find 3 left-handed individuals? c) what is the expected value of the number of individuals that you will need to approach to find 3 left- handed individuals?
5.Approximately 64% of the people murdered actually knew their murderer. Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer?
In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. A.What is the probability a randomly selected student lives off campus? B. Explain why this is an example of empirical probability.
12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.
3. The latest data from the CDC indicates that 14% of Americans are smokers. A researcher wants to identify smokers for a survey. He randomly selects people entering a grocery store to ask if they are a smoker. a) What is the probability that he identifies the first smoker on his 5th try? b) What is the probability that he has to approach more than 8 people before finding the first smoker? c) How many people does he expect to approach before finding the first smoker?

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