QUESTION 2 [20 MARKS] Information on three age groups and three salary bands in a mining...

QUESTION 2 [20 MARKS] 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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Information on three age groups and three salary bands in a mining company is being analyzed. First, it is summarise into a contingency table before this analysis. The table, showing that age groups, the salary bands and number of employees for each combination of salary.....

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