Suppose that X1, · · · .Xn are normal with mean µ1; Y1, · · · , Yn are normal with mean µ2, and W1, · · · , Wn are normal with mean µ1 + µ2. Assuming that all 3n random variables are independent with a common variance, f ...
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A fish tank in a pet store has 23 fish in it. 11 are orange and 12 are white. Determine the probability that if we select 4 fish from the tank, at least 2 will be white.
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Determine the sample size needed to construct a 90?% confidence interval to estimate the average GPA for the student population at a college with a margin of error equal to 0.5. Assume the standard deviation of the GPA f ...
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You work for a firm that manufactures DVD players. Your DVD players last an average of 800 days with a standard deviation of 200 days. You want to set the warranty length such that you only have to replace 1.5% of all th ...
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Suppose that you have $5000 and you are contemplating the purchase of two investments, IBM and Walgreen's. One year from now, IBM can be sold at $ X per dollar invested, and Walgreen's can be sold for $ Y per dollar inve ...
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DePaul University makes student IDs of length 5 characters by picking 2 letters from D,E,P,A,U,L; no repetitions and the order is not important followed by picking 3 digits from 0,1,2,3,4,5,6,7,8,9; no repetitions and th ...
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Please show all work. A pair of dice is tossed and the face number of each die is recorded. Assuming the dice are fair, what's the probability of the sum of the die faces showing is even?
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The height of woman ages 20-29 is normally distributed , with a mean of 64.3 inches. assuming the standard diviation = 2.4 inches. are you more likely to randomly select 1 woman with a height less than 66.2 inches or are ...
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A professor determines that 95% of her students prefer getting weekly homework assignments to solving two in-class problems at the end of the semester. What is the probability that a particular student prefers solving in ...
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The blenders produced by a company have a normally distributed life span with a mean of 8.2 years and a standard deviation of 1.3 years. What warranty should be provided so that the company is replacing at most 10% of th ...
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