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A certain circuit board consists of two resistors, green and red. The circuit board manufacturer has two huge bins filled with the resistors, one for each color. Based on several years of data, it is known that 90% of the red resistors are functional, and 75% of the green resistors are functional. When creating a circuit board, the technician selects one red and one green resistor at random.
Hints for the two problems below: It may help to write out the list of all possible outcomes of this random process. Also, remember that the probabilities of outcomes add, and that independent probabilities multiply.
(a) The circuit board as a whole is only functional if both resistors are functional. What is the probability that the circuit board is functional?
(b) What is the probability that EXACTLY one of the resistors chosen is functional?
A couple both carry a recessive gene for albinism, meaning the probability of any child being albino is ¼. The couple plans to have 4 children. What is the probability that two of their four children will be albino? Calculate the expected mean and ex..
You manage a staff of 15 people in an insurance office. You have noticed that several of the employees are taking longer and longer coffee and cigarette breaks.
A manufacturer of 35-mm cameras knows that a shipment of 30 cameras sent to the large discount store contains 8 defective cameras. The manufacturer also knows that the store will choose two of the cameras at a random, test them, and accept the shi..
He then calculates the percentages and finds that 10% of females and 6% of males had reoffended and concludes that female sex offenders were more likely to reoffend than male sex offenders. What is wrong with his conclusion?
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Can Mr. Rutter conclude that the mean mass of the bags is less than 50 kg? Use the 1% significance level.
White blood cell counts for a group of volunteers before being innoculated, and white blood cell counts for a second group of volunteers after being innoculated.
a sample of n 16 scores has a mean of m 65 and an estimated standard error of 2 points. what is the sample
Suppose you were to read the following news story: "Researchers compared a new drug to a placebo for treating high blood pressure, and it seemed to work.
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Isaac is considering starting a multimedia advertising campaign that is supposed to increase sales by $7,500 per year. The campaign will cost $5,000.
Construct a 95% small-sample confidence interval for the proportion of all students at the college who are on the social-networking website.
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