Part 2: Based on the answers from Part 1, do \"job class\" and \"mode of transpo

Question

Part 2: Based on the answers from Part 1, do "job class" and "mode of transportation" appear to be independent? Be sure to back up your conclusion with STATISTICAL EVIDENCE siting the calculations you found in Part 1 Use this table, which details hown pay Pal's employees commute to vrork, to answer all parts of this question. Transportation Car Bus Train Total Management 15 37 60 112 Labor 33 82 132 247 4 Total 48 119 192 359 Part 1 of 2 Give the marginal distribution of mode of transportation (to the nearest tenth of a percent). Be sure to label each with the percent signl Car Bus Train Give the conditional distribution of mode of transportation for those in management to the nearest tenth of a percent). Be sure to label each with the percent signl Train Give the conditional distribution of mode of transportation for those in labor (to the nearest tenth of a percent) Be sure to label each with the percent signl Train

Explanation / Answer

1 a)marginal probability

Car =(48/359)*100=~13.4%

Bus =(119/359)*100=~33.1%

Train =(192/359)*100 =53.5%

b)

conditional distribution of mode of transportation for those in management

Car =(15/112)*100=13.4%

Bus =(37/112)*100=33.0%

train=(60/112)*100=53.6%

c)

conditional distribution of mode of transportation for those in Labor

Car =(33/247)*100=13.4%

Bus=(82/247)*100=33.2%

Train=(132/247)*100=53.4%

2)as conditional distribution of Car,Bus and train given mode of transportation which is approximately equal to marginal distribution of Car, Bus and train.

therefore job class and mode of transportation apper to be independent.

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