Questions from Econometrics


Q: For the conditional distribution of the number of network failures M given

For the conditional distribution of the number of network failures M given network age A. Let Pr(A=0) = 0.5; that is, you work in your room 50% of the time. a. Compute the probability of three network...

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Q: In a population, Y = 75 and 2Y =

In a population, Y = 75 and 2Y = 45. Use the central limit theorem to answer the following questions: a. In a random sample of size n = 50, find Pr (Y < 73). b. In a random sample of size n = 90, fi...

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Q: Using the random variables X and Y from Table 2.2

Using the random variables X and Y from Table 2.2, consider two new random variables, W = 4 + 8X and V = 11 - 2Y. Compute (a) E(W) and E(V); (b) 2W and 2V; and (c) WV and corr (W, V).

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Q: Suppose a new standardized test is given to 150 randomly selected third

Suppose a new standardized test is given to 150 randomly selected third-grade students in Amsterdam. The sample average score Y on the test is 42 points, and the sample standard deviation, sY, is 6 po...

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Q: Consider the estimator Y∼, defined in Equation (3.1

Consider the estimator Y∼, defined in Equation (3.1). Show that (a) E (Y∼) = Y and (b) var (Y∼) = 1.252Y...

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Q: To investigate possible gender discrimination in a British firm, a sample

To investigate possible gender discrimination in a British firm, a sample of 120 men and 150 women with similar job descriptions are selected at random. A summary of the resulting monthly salaries fol...

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Q: Data on fifth-grade test scores (reading and mathematics)

Data on fifth-grade test scores (reading and mathematics) for 400 school districts in Brussels yield average score Y = 712.1 and standard deviation sY = 23.2. a. Construct a 90% confidence interval fo...

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Q: Values of height in inches (X) and weight in pounds

Values of height in inches (X) and weight in pounds (Y) are recorded from a sample of 200 male college students. The resulting summary statistics are X = 71.2 in., Y = 164 lb, sX = 1.9 in., sY = 16.4...

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Q: Ya and Yb are Bernoulli random variables from two different populations,

Ya and Yb are Bernoulli random variables from two different populations, denoted a and b. Suppose E (Ya) = pa and E (Yb) = pb. A random sample of size na is chosen from population a, with a sample ave...

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Q: Assume that grades on a standardized test are known to have a

Assume that grades on a standardized test are known to have a mean of 500 for students in Europe. The test is administered to 600 randomly selected students in Ukraine; in this sample, the mean is 508...

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