ECON 250 Midterm: ECON 250 Pastmidterm1 Econ250midterm1W13

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31 Jan 2019
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Economics 250 Mid-Term Test 1
11 February 2013
Instructions: You may use a hand calculator. Do not hand in the question sheet. Answer
all four questions in the answer booklet provided. Show your work. Formulas and tables
are provided after the question pages.
1. Suppose that you have a sample of 4 workers’ periods of unemployment (denoted x)
with the following durations in months: 3, 4, 4, 9.
(a) Find the sample mean, mode, sample variance, and coefficient of variation.
(b) Suppose that unemployed workers run down their savings by an amount ythat depends
on the duration of unemployment x, like this:
y=10x.
Find the mean and variance of y.
(c) Find the covariance and correlation between xand y.
2. Suppose the exchange rate between the Canadian and US dollars is normally distributed
with mean 1.00 and variance 0.000144.
(a) What is the probability that the exchange rate lies in the interval between 1.00 and
1.012?
(b) What is the probability that the exchange rate is greater than 1.012?
(c) A researcher measures the average of the exchange rates over 5 trading days each week.
What is the probability that the average is greater than 1.012?
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ECON 250 Full Course Notes
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Document Summary

Answer all four questions in the answer booklet provided. 1. 012? (b) what is the probability that the exchange rate is greater than 1. 012? (c) a researcher measures the average of the exchange rates over 5 trading days each week. Thirty have neither low household income nor a minimum wage earner. Twelve have a minimum wage earner but do not have low household income. 0. 3 (a) find the expected value or mean ( r) and variance ( . The covariance (b) a foreign bond has a return, labelled r between the two returns, r and r. Suppose investors hold 75% of their portfolios in the domestic bond and 25% in the foreign bond. Find the expected value (mean) and variance of the portfolio return. Economics 250 midterm test 1: answer guide (a) the mean is 5 and the mode is 4.

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