STAT 213 Study Guide - Final Guide: Poisson Distribution, Standard Deviation, Minitab

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Published on 24 Jun 2019
Department
Course
UNIVERSITY OF CALGARY
Department of Mathematics and Statistics
Prepared by: Dr. Bingrui (Cindy) Sun
STAT 213 Supplementary Questions Spring 2019 Total: 58 marks
First Name: Last Name:
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1. A polygraph test is used to determine if someone is lying. The test is not totally reliable:
15% of people who are not lying give a test result that they are lying, while 10% of people who
are lying give a test result that they are not lying. A congressman who is known to lie 30% of
the time is tested. Final answer in 4 decimals. (Total 7 marks)
(a) What is the probability that he is correctly classified as being lying? (3 marks)
(b) If the polygraph test says he is lying, what is the probability that he could actually be
telling the truth? (4 marks)
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2. The screen shot below is made from the Statistics Canada website. http://www.statcan.gc.ca/tables-
tableaux/sum-som/l01/cst01/famil50a-eng.htm (Total 7 marks)
(a) Compute the average number of children at home per family in the ‘Female lone-parent’
category. Use ‘4 children’ as an approximation for ‘3 or more children’. Final answer in 2
decimals. (3 marks)
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(b) Compute the standard deviation of the number of children at home per family in the
‘Female lone-parent’ category. Use ‘4 children’ as an approximation for ‘3 or more children’.
Final answer in 2 decimals. (4 marks)
3. Let’s assume that at the University of Calgary, international students make up 10% of the
undergraduate student population. Suppose 30 University of Calgary undergraduate students
are randomly selected, how likely will there be fewer than four international students? Final
answer in 4 decimals. (Total 4 marks)
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