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 restaurant manager classifies customers as regular, occasional, or new, and finds that of all customers 50%, 40%, and 10%, respectively, fall into these categories. The manager found that wine was ordered by 70% of the ...
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You know that the price of Sunland, Inc., stock will be $36 exactly one year from today. Today the price of the stock is $34. Determine what must happen to the price of Sunland, Inc., today in order for an investor to ge ...
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A coin is biased so that the probability of obtaining heads is ¾, What is the probability of obtaining at least three heads in four tosses of the coin?
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Performance scores on a motor skills task form a normal distribution with μ = 20 and σ = 4. A psychologist is using this task to determine the extent to which increased self-awareness affects performance. The prediction ...
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A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation σ = 30. (a) How large must n be if the length of the 95% CI ...
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1. A fencer attends a fencing tournament. To ensure the equipment works well, he takes three blades. Two of them will be the backup. The probability of his three blades to function properly are 0.95, 0.8, 0.7 respectivel ...
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Metro trains in Manhattan arrive at your train station exactly every 15 minutes (i.e., the times between arrivals are 15, 15, 15, and 15 in an hour). If you just arrived at the train station at a random time, what is the ...
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Suppose that a fair, 6 sided die is rolled. Let X indicate the event that an odd number is rolled (in other words, X = 1 if an odd number is rolled and X = 0 otherwise). Let Y indicate the event that 2, 3, or 4 is rolled ...
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A population has a mean μ=79 and a standard deviation σ=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=248 μx= ?Simplify your? answer. σx= rounded to three decimal ...
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