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How should the value of m be chosen so that the probability that at least one defective item turns up is .90? Calculate your answer explicitly for: i. n = 1000, k = 10 ii. N = 10000, k = 100 (c) (Rice 1.22) A standard deck of 52 cards is shuffled thoroughly and n cards are turned up. What is the probability that a face card turns up? For what value of n is the probability about .5?
Recognizing that the hike to the campsite is a long one, a limit of 35 pounds has been set as the maximum total weight of the items to be carried. Formulate this as a LP problem to maximize the total utility of items carried.
Suppose a one tailed t test is being applied to find out if the population mean is less than $120. The level of significance selected is 0.01 and 26 bank accounts were sampled.
Let X 1 , X 2 , ... , X n be a random sample from the distribution with probability density function f(x; Θ) = [Θ / 2sqrt(x)] * e^[-Θsqrt(x)], x > 0 , Θ > 0. What is the probability distribution of sigma notation from i = 1 to n (sqrt(Xi))?
A record executive is interested in the popularity of her label's newest band, The Standard Deviations. She asks 10 people how many Standard Deviations songs they know.
Our customers expect a call to be completed in 22 minutes. Using the data above, does either of our call centers meet this expectation with an alpha level of 0.05?
The manufacturer of a nationally known "lite beer" claims that the approval rating for it's product is at least 85%. A local soft drink manufacturer has retained a marketing agency to test the "lite beer".
A Department of Trasporta repot about air travel found that nationwide, 76% of all flights are on time. What is the probablity that you will have have excatly 80 flights on time?
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two separate occasions?
Finding the probability value for the given data using normal approximation
Joe is being audited by the IRS and must provide an estimate for his investment earnings over the next four years. After a thorough search, Joe can only find the following records.
Generate a 95 % confidence interval for the difference in proportions of patients who report pain relief.
At a state political rally, a spaker announced "we should raise test scores so that the students are above the state median". How would you analyze this statement?
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