Suppose that a manufacturing process is such that the probability of a card being correctly populated with microchips is 0.85. For each correctly populated card that a retailer buys from the manufacturer, the retailer makes a profit of 50 rand while for each incorrectly populated card, the retailer makes a loss of 30 rand. Miss Kekana is a retailer and she has decided to buy 22 cards from the manufacturer? The mean of the amount of money that Miss Kekana will make is
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- A big concert was held at the Bowl. Men and women had to go through separate lines to enter. The turnstile on the female entrance showed a total count of 1595 females, but the males turnstile was broken. A sample was taken from the 200 seats in section A, which showed 74 males in the section. Use the male count from section A to estimate the total number of people attending the concert. (Assume none of the seats were empty.)A person died prematurely, find the probability with which he could have been a heavy smoker given the following data: Off all people: 50% of people don't smoke, 20% are light smokers & 30% are heavy smokers. Heavy smokers are twice as likely to die prematurely as light smokers, light (6 marks) smokers are twice as likely to die prematurely as nonsmokers.An examination consists of two papers , Paper 1 and Paper 2 . The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2 . Given that a student has failed in Paper 2 , the probability of failing in Paper 1 is 0.6 . Then the probability of a student failing in both the papers is equal to
- A drug test correctly gives a positive result 90 percent of the time. However, 3 percent of the time, it incorrectly gives a positive result. This is known as a false positive. Suppose that 7 percent of the people to be tested will have one or more of the drugs being tested for in their system. What is the probability that a randomly chosen person will have get a positive test result? Your answer should be to 4 decimal places.An IT company employs two sales engineers. Engineer 1 does the work of estimating cost for70% of jobs bid by the company. Engineer 2 does the work for 30% of jobs bid by the company.It is known that the error rate for engineer 1 is such that 0.02 is the probability of an error whenhe does the work, whereas the probability of an error in the work of engineer 2 is 0.04. Supposea bid arrives and a serious error occurs in estimating cost. Which engineer would you guess didthe work? Explain and show all work.At an exhibition, the probability of visitors on the first day is 3/5. The ticket price for a visitor of all age is RM8.00 and the total number of visitors during the exhibition is 650. Calculate the amount of ticket payment collected on the first day.
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- solve with steps Three different machines A1, A2, A3 were used for the producing a large batch of similar manufactured items. Suppose that 10% of items are produced by machine A1, 20% by A2 and 40% by A3. Suppose further that 1%of the items produced by A1, 2% by A2 and 3% by A3 machine are defective. Suppose one item is selected from the entire batch and it is found to be defective. Calculate the probability that this item was produced bymachine A2Kelly realized that 4% of his students' exams have academic integrity issues. He plans to go through the exams at random to find one with academic integrity issues. Let X be the number of exams Kelly selects until he finds one with academic integrity issues. a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer? b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?