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Suppose that 50% of all watches produced by a certain factory are defective (the other 50% are fine). A store buys a box with 400 watches produced by this factory. Assume this is a random sample from the factory.
(a) Write an expression for the exact probability that at least 215 of the 400 watches are defective.
(b) Approximate the probability, using either the Poisson or normal approximation, whichever is appropriate, that at least 215 of the 400 watches are defective.
Explain the logic of what you have done to a person who is unfamiliar with the analysis of variance.
a random sample of size 36 is selected from a population whose mean is 70 and standard deviation is 6. calculate the
Calculate a p-value and draw a conclusion. b) In another experiment that compared infested bark with a mixture of infested and uninfested bark
Consider the rollout algorithm for the traveling salesman problem using as base heuristic the nearest neighbor method, whereby we start from some simple path and at each iteration, we add a node that does not close a cycle and minimizes the cost o..
Prepare a data spreadsheet with three columns: Date, High Temperature, and Low Temperature. List the past 60 days for which data is available. Prepare ahistogram for the data on high temperatures and comment on the shape of the distribution as ob..
At Stats High, there is a difficult exam that every junior takes. Over the last 5 years, the exam results are normally distributed with a mean of 35% and a standard deviation of 7%.
Since she is allowed to reserve one time if her first serve is out what should her serving strategy be?
State the main points of the Central Limit Theorem for a mean. Why is population shape of concern when estimating a mean? What does sample size have to do with it?"
Suppose that you and two friends go to a restarant, which last month filled approximatly 90.1% of the orders correctly. complete parts (a) to (d). What is the probability that all orders will be filled correctly
Let {N(t),t ≥ 0} be a Poisson process with rate λ = 2 per minute. What is the probability that the time elapsed between at least two of the first three events of the process is smaller than or equal to one minute?
What is the probably that less than five will not complete the program and receive their degree?
Can you conclude that the variances of the breaking strengths of natural and synthetic fibers are different? Use a level of significance α of 0.05. What assumptions are necessary to perform this test?
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