A large company tracks the transportation habits of its 300 employees. Their daily commuting distance and usual method are summarized in the table. Under 2 miles 2–4 miles 5–6 miles Over 6 miles Car 15 25 30 40 Public Transit 20 20 35 15 Bike 30 15 10 5 Walk 25 10 5 0 Part A: Calculate the empirical conditional probability of an employee who takes public transit to work, given that they live over 6 miles away. Show all work.Part B: Is an employee more or less likely to take public transit if they live over 6 miles away? Justify the answer mathematically.
A large company tracks the transportation habits of its 300 employees. Their daily commuting distance and usual method are summarized in the table. Under 2 miles 2–4 miles 5–6 miles Over 6 miles Car 15 25 30 40 Public Transit 20 20 35 15 Bike 30 15 10 5 Walk 25 10 5 0 Part A: Calculate the empirical conditional probability of an employee who takes public transit to work, given that they live over 6 miles away. Show all work.Part B: Is an employee more or less likely to take public transit if they live over 6 miles away? Justify the answer mathematically.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
Question
A large company tracks the transportation habits of its 300 employees. Their daily commuting distance and usual method are summarized in the table.
Under 2 miles | 2–4 miles | 5–6 miles | Over 6 miles | |
---|---|---|---|---|
Car | 15 | 25 | 30 | 40 |
Public Transit | 20 | 20 | 35 | 15 |
Bike | 30 | 15 | 10 | 5 |
Walk | 25 | 10 | 5 | 0 |
Part A: Calculate the empirical conditional probability of an employee who takes public transit to work, given that they live over 6 miles away. Show all work.
Part B: Is an employee more or less likely to take public transit if they live over 6 miles away? Justify the answer mathematically.
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