Quèstion 1In a certain assembly plant, three machines, E1, E2, and E3, make 30%, 45%, and 25%, respectively, of the products. It is known from experience that 1%, 2%, and3% of the products made by each machine, respectively, are defective. Now, suppose that a finished product is randomly selected and it was defective what is theprobability that it was made by machine E2?(Write your answer in the format: 0.xxxx)Question 1 ol 5-

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Answered: quèstion 1 In a certain assembly plant,…

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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Question 9 (5 points) Provide an appropriate response. A group of students were asked if they carry a credit card. The responses are listed in the table. Credit Card Not a Credit Card Carrier 20 Class Freshman Sophomore Total Carrier 40 25 65 O a 0.333 O b 0.667 О с 0.400 Od 0.615 15 35 Total 60 40 100 If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
At a certain large legal firm, 60% of the employees are currently working remotely from home, while the rest are coming to the office to work. Five-sixths of those working from home have young children, and three-quarters of those who work in the office have young children. Fatima, one of the firm's employees, has 2 young children. What is the probability that Fatima works remotely from home these days? 5 A. 8 B. 6383512 D. E.
QUESTION 3 H Profits for a skiing resort depends on how much snow falls in winter. The probability distribution of snowfall and resulting profitability is as follows: More than 40 inches K120 000 40% 20 to 40 inches K40 000 20% Less than 20 inches -K40 000 40% The owner receives an offer from a hotel chain to lease the resort at a guaranteed profit of K45 000 for the season. He is also considering leasing snow making equipment which would allow the resort to operate full-time regardless of the amount of natural snow fall which would ensure profit of K120 000 minus the cost of leasing and operating the snow equipment. The leasing cost is K12 000 per season regardless of usage. Operating cost will be K10 000 for natural snowfall of more than 40 inches, K50 000 for between 20 and 40 inches and K90 000 if it is less than 20 inches. Required: Construct a decision tree…
Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are defective. What is the probability that in a shipment of 625 such tools (a) 8 per cent or more, and (b) 7 per cent or less will be defective?
1. In the experiment of tossing 3 coins, what is the probability of getting 3 heads? 2. The events x and y are mutually exclusive events. If P(x) = 0.4 and P(y) = 0.3, what is the probability of either x or y? What is the probability that neither x nor y will occur? %3D %3D 3. A student enrolled two math subjects: statistics and algebra. His chance of passing the statistics subject 0.65. His chance of passing algebra is 0.80 and his chance of passing both subjects is 0.50. What is the probability of passing at least one subject?
Example 2.17 Of the voters in a city, 40% are Republicans and 60% are Democrats. Among the Republicans 70% are in favor of a bond issue, whereas 80% of the Democrats favor the issue. If a voter is selected at random in the city, what is the probability that he or she favor the bond issue?
Course: StatisticsAn electronics retailer importing container from China has knowledge that 3% of the items in each container are out of order, if from the last container, the retailer chooses 20 products at random, find the probability that 4 of them are out of order. Select one:a. There is a 0.12%b. There is 0.002%.c. There is 0.2%.d. There is 3%.e. There is 1.2%.
Example 2.3.28 A lot contains 20 articles. The probability that the lot contains exactly 2 defective articles is 0.4, and the probability that it contains 3 defective articles is 0.6. The articles are drawn one-by-one at random, and without replacement and they are tested till all defectives are found. What is the probability that the testing procedure ends at the twelfth testing?
Question 2 A new drug is in the process of being approved by the FDA. The drug is being tested in 10 mice, and there is a 8% chance that a mice will die from the drug in the trial. Calculate the probability exactly two mice die. 14.8% 4.3% 8% 84.2%

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