Information on three age groups and three salary bands in a mining company is being analyzed....

Information on three age groups and three salary bands in a mining company is being analyzed. First, it is summarized into a contingency table before this analysis. The table, showing the age groups, the salary bands and the number of employees per each combination of salary band and age group is shown below.

	Age Group
Salary Band	Less than 40 year	40 to 60 Years	More than 60 Years
Less than P20,000	35	40	10
P20,000 - P40,000	21	30	15
More than P40,000	16	25	8

a. Produce a probability contingency table for the data including the totals.

b. If an employee is randomly chosen, what is the probability that he/she is in the 40 to 60 years age group earning between P20, 000 and P40, 000?

c. If an employee is randomly chosen, what is the probability that he/she is less than 40 years of age or earning more than P40, 000?

d. Given that the employee earns less than P20, 000, what is the probability that he/she is aged above 60 years (give answer to 4 decimal places)?

e. If an employee is randomly chosen, what is the probability that he/she is aged 60 years and less?

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Expert Solution

orchestra answered 1 year ago

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