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Question: A distributor receives a new shipment of 20 iPods. He draws a random sample of five iPods and thoroughly inspects the click wheel of each of them. Suppose that the shipment contains three iPods with a malfunctioning click wheel. Let X denote the number of iPods with a defective click wheel in the sample of five.
(a) The random variable X is (choose one)
(i) binomial
(ii) hypergeometric
(iii) negative binomial
(iv) Poisson.
(b) Give the sample space and the formula for the PMF of X.
(c) Compute P(X = 1).
(d) Find the expected value and variance of X.
Scores of an iq test have a bell shaped distribution with a mean of 100 and a standard deviation of 16. Use the empirical rule to determine the following. What percentage of people has an IQ score between 84 and 116
Given: You are using a significance level of α = 0.05 to test a claim that p > 0.5. Your sample is a simple random sample of size n = 49. Calculate β for the test, assuming that the true population proportion is 0.7 and showing all work.
In the 1992 U.S. presidential election, Bill Clinton received 43% of the vote compared to 38% for George H. W. Bush and 19% for Ross Perot. Suppose we had taken a random sample of 100 voters in an exit poll and asked them for whom they had voted.
Consider an equilateral triangle whose sides each have length s. Let a point be chosen uniformly from one side of the triangle. Let X denote the distance of the point chosen from the opposite vertex. Find the distribution function of X.
A medical researcher estimates that no more than 55% of the U.S. adults eat breakfast every day. In a random sample of 250 U.S. adults, 56.4% say that they eat breakfast every day.
Consider the following joint frequency table which summarizes voting trends in the most recent Presidential election.
What could be some real world examples of examining different types of data and making sense of it?
Prepare a 1,050- to 1,500-word paper that discusses research-based interventions to treat psychopathology.
while doing a homework assignment you fit a linear model to your data set. you are thinking about changing the linear
Suppose that your friend cannot observe the effort level of the band. Explain why the full- information contract is not incentive compatible. Why is this called moral hazard?
Design an FSA that recognizes simple date expressions like March 15, the 22nd of November, Christmas. You should try to include all such ‘absolute' dates.
ABC insurance sells term life insurance policies. If the plicy holder dies during the term of the policy ABC pays out $100000. If the person does not die ABC pays nothing and there is no further value to the policy.
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