Class Activity-Week 4

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School

Algoma University *

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Course

1207

Subject

Industrial Engineering

Date

Oct 30, 2023

Type

docx

Pages

Uploaded by BaronDragon7358

Question 1. All 410 employees at a company were surveyed as to whether they were female or male and what type of vehicle they drive to work. car van SUV truck total female 41 82 24 49 196 male 52 75 38 49 214 total 93 157 62 98 410 a) What is the probability that a randomly selected employee from this company is a male? b) What is the probability that a randomly selected employee from this company drives a SUV? c) What is the probability that a randomly selected employee is female given that she drives truck? d) What is the probability that a randomly selected employee drives a car given that the employee is male? e) What is the probability that a randomly selected female employee drives a car? f) What is the probability that a randomly selected employee does not drive a van? Question 2. Suppose that for 2017 and 2018 combined, 3,337,380 motor vehicles were sold in Canada and compiled into a list. The year 2018 accounted for 1,716,803 of these vehicles. Those manufactured overseas (outside North America) accounted for 444,070 of the vehicles sold in 2018. Suppose 325,421 vehicles built overseas were sold in 2017. A vehicle is randomly selected from the list…. a) What is the probability that the vehicle was manufactured overseas? b) What is the probability that the vehicle was sold in 2018 or manufactured overseas? c) What is the probability that the vehicle was sold in 2018 if it is known that the vehicle was manufactured overseas? d) What is the probability that the vehicle was manufactured overseas if it is known that the vehicle was sold in 2018? e) What is the probability that the vehicle was not manufactured overseas if it is known that the vehicle was not sold in 2018? f) Given that the vehicle was sold in 2018, what is the probability that the vehicle was not manufactured overseas?

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