practice_midterm1_spring2024

pdf

School

University of British Columbia, Okanagan *

*We aren’t endorsed by this school

Course

225

Subject

Mathematics

Date

Feb 20, 2024

Type

pdf

Pages

Uploaded by sammiescully1999

UNIVERSITY OF BRITISH COLUMBIA - OKANAGAN Faculty of Arts and Social Sciences ECON225– Section 1 Practice Midterm Instructor: Prof. Rallye Shen 2024/2/13 Name : Student Number : Allowable aids: non-programmable calculator. Set your cell phone to silent and leave it in your bag. Do not open the exam until instructed. This exam is 80 minutes long. It contains 12 pages (including this cover page) and 6 questions. Total number of points is 45. Good luck! Distribution of Marks Question Points Score 1 8 2 8 3 9 4 5 5 5 6 10 Total: 45 1

ECON225 Section 1 2024/2/13 Figure 1: Source: May and Steele (2019) 1. Examine the above chart. (a) (2 points) What type of variable is represented? (b) (2 points) What kind of chart is this? (c) (2 points) If you know that this chart was based on a single dataset, are you able to tell what kind of dataset was used to create the chart (cross-sectional, time series, or panel)? Explain. (d) (2 points) Describe the distribution of the variable in 2000 and 2016. Page 2 of 12

ECON225 Section 1 2024/2/13 Question 1 continued: Page 3 of 12

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

ECON225 Section 1 2024/2/13 2. In automobile mileage and gasoline-consumption testing, 8 automobiles were road tested for 300 miles in city driving conditions. The following data were recorded for miles-per-gallon performance. 16.2, 16.7, 15.9, 14.4, 13.2, 15.3, 16.8, 16.0 Compute the following: (a) (2 points) The mean (b) (2 points) The median (c) (2 points) The sample variance (d) (2 points) The sample standard deviation Page 4 of 12

ECON225 Section 1 2024/2/13 3. Results from a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours and that the number of hours of sleep follows a Normal distribution. (a) (6 points) Use the normal table to calculate the percentage of individuals who sleep be- tween 4.5 and 9.3 hours per day. (b) (3 points) If you know that a person is at the 40th percentile of the distribution, approx- imately how many hours do they sleep? Page 5 of 12

ECON225 Section 1 2024/2/13 4. (5 points) Suppose the sample space of a random experiment is S = { 1 , 2 , 3 , 4 } , and the prob- ability function satisfies the following: P ( { 1 } ) − 1 8 = P ( { 2 } ) = 3 × P ( { 3 } ) = 4 × P ( { 4 } ) Compute P ( { 1 } ) , P ( { 2 } ) , P ( { 3 } ), and P ( { 4 } ). Page 6 of 12

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

ECON225 Section 1 2024/2/13 5. (5 points) Suppose that 5% of men and 0.25% of women are colour-blind. A person is chosen at random and that person is colour-blind. What is the probability that the person is male? (Assume males and females to be in equal numbers). Page 7 of 12

ECON225 Section 1 2024/2/13 6. A coin is tossed three times. Let the random variable X denote the number of heads in the tosses times the number of tails . (a) (4 points) List the 8 possible outcomes when you toss a coin three times. (Write the outcomes in terms of heads (H) and tails (T).) (b) (6 points) Use the 8 possible outcomes listed above to tabulate the probability distribution function for X Page 8 of 12

ECON225 Section 1 2024/2/13 Formula Sheet Page 9 of 12

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

ECON225 Section 1 2024/2/13 Cumulative probabilities for the standard normal distribution Page 10 of 12

ECON225 Section 1 2024/2/13 Cumulative probabilities for the standard normal distribution Page 11 of 12

ECON225 Section 1 2024/2/13 This page is intentionally left blank to accommodate work that wouldn’t fit elsewhere and/or scratch work. Page 12 of 12

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

practice_midterm1_spring2024

Related Documents