In a certain battery manufacturing plant, three factories, F1, F2, and F3, make 35%, 47%, and 18%respectively, of the products. It is known from experience that 2%, 1.5%, and 2.5% of theproducts made by each factory, respectively, has some kind of defect. What is the probability thata battery chosen at random is non-defective?98.514%98.415%98.154%98.145%

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Answered: In a certain battery manufacturing…

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 reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts (a) through a. What is the probability that the sample will have between 29% and 37% of companies in Country A that have three or more female board directors? The probability is (Round to four decimal places as needed.) b. The probability is 60% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population The probability is 60% that the sample percentage will be contained above (Round to one decimal place as needed.) % and below %. c. The probability is 99.7% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population The probability is 99.7% that the sample percentage will be contained above % and below (Round to one decimal…
The proportions of blood phenotypes A, B, AB, and O in the population of all Caucasians in the United States are reported as .40, .11, .04, and .45, respectively.¹ If a single Caucasian is chosen randomly from the population, what is the probability that he or she will have either type A or type AB blood?
In a survey of U.S. adults with a sample size of 2082, 370 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…
R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of five Americans is selected, what is the probability that At most 3 people will agree with that statement. Select one: O a. 0.7 O b. 1 О с. 0.8 O d. 0.913
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 kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his first car? O A. 0.0125 OB. 0.1712 OC. 0.4932 OD. 0.3356
A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?
A. 40% B. 42.50% C. 48.50% D. 41.25%
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.
3. Twenty five percent of a town's voters favor letting a major discount store move into their neighbourhood, 60% are against it and 15% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?
A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?

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