Question

Question

The following table shows a cross-tabulation of 300 employees of a small manufacturing company by age and department.
DEPARTMENT
Age Production Sales Technical Total
< 25 50 50 2 102
25-40 70 24 50 144
> 40 40 10 4 54
Total 160 84 56 300

If an employee is selected at random from this population, calculate the probability that the employee is:

7. Employee aged under 25 years *

5 points

Your answer

8. Employee from Production *

5 points

Your answer

9. Aged under 25 years and is from Production *

5 points

Your answer

This is a required question

10. from Sales and is aged between 25 and 40 *

5 points

Your answer

11. Aged under 25 years, given that he is from Production *

5 points

Your answer

12. from Sales, given that he is not below 40 *

5 points

Your answer

13. A perfume manufacturer who makes 10 different fragrances wants to prepare a gift package containing 6 fragrances. How many combinations of fragrances are available? *

5 points

Your answer

Answer 1

We make the table:

Age	Production	Sales	Technical	Total
<25	50	50	2	102
25-40	70	24	50	144
>40	40	10	4	54
Total	160	84	56	300

7.

Probability that the employee is aged under 25 years:

8.

Probability that the employee is from production:

9.

Probability that the employee is aged under 25 years and is from production:

10.

Probability that the employee is aged between 25 and 40 years and is from sales:

11.

Probability that the employee is aged under 25 years given that he is from production:

12.

Probability that the employee is from Sales, given that he is not below 40

13.

The number of combinations with 6 fragrances that can be selected from 10 different fragrances:

Hopefully this will help you. In case of any query, do comment. If you are satisfied with the answer, give it a like. Thanks.