Suppose the general manager of a company is asked to run a report to determine t

Question

Suppose the general manager of a company is asked to run a report to determine the educational background of employees at his company by age. The table below displays the required information. Complete the table by filling in each marginal distribution for educational background and for age.

Give your answer as a percentage, rounded to the nearest whole number.

Associate
degree Bachelor's
degree Master's
degree Probability
by age Under 30 15 31 10 31 – 45 19 26 15 Over 45 8 7 11 Probability
by degree

Explanation / Answer

Total is the sum of all the numbers: (15+31+10+19+26+15+8+7+11)=142

for under 30, probability is =(15+31+10)/142= 39.44%

for 31-45 it is =(19+26+15)/142 =42.25%

for over 45 it is =(8+7+11)/142=18.31%

for the lowermost row, the associate degree has probability =(15+19+8)/142 =29.58%

for bachelor's degree =(31+26+7)/142=45.1%

for master's it is =(10+15+11)/142=25.25%

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