## The difference btwn marginal distribution and conditional distribution ???

So I have a table that "apparently" shows how a company's employees commute to work.

TRANSPORTATION
JOB CLASS CAR BUS TRAIN TOTAL
MANAGEMENT 26 20 44 90
LABOR 56 106 168 330
TOTAL 82 126 212 420

As you look at my sorry attempt to re-create the table I was given...
So now I must find the marginal ditrubution (in %) of mode of transportation as well as the conditional distribution (in%) of mode of tranportation for management.

When I read the definition of a conditional distribution in lead me to think that in order to find that I would devide the data under management [26,20,44] by the total [90].

The marginal distribution I am lost on.

Can someone help me ? Please ?
Thank you !
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 I can help you with the marginal distribution. You have to find the individual probability of each mode of transportation for instance : P(Car)=(82/420) P(BUS)=(126/420) p(tRAIN)=212/420 SUM OF PROB EQUAL ONE, SO YOU HAVE A MARGINAL DISTRIBUTION. FOR THE CONDITIONNAL ONE i THINK YOU ARE RIGHT, YOUR CONDITION IS WELL MANAGEMENT.
 Recognitions: Homework Help You have two marginal distributions: (1) the distribution of transportation mode (i.e., what percentages of ALL employees---both labor and management---take car, bus or train; and (2) the distribution of employee type (i.e., what percentage of employees are labor and what percentage are management). RGV