Fifteen percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have mba degrees. also, 60 percent of the managers have mba degrees. using the probability formulas, (a) find the proportion of employees who are managers and have mba degrees. (round your answer to 2 decimal places.) proportion of employees .09 (b) find the proportion of mbas who are managers. (round your answer to 2 decimal places.) proportion of mbas 1 (c) are the events being a manager and having an mba independent?

.15 of employees are managers

.25 of employees are MBAs

.60 of managers are MBAs

(a) proportion of employees who are managers with MBA

(b) proportion of MBAs who are managers

(c) whether MBA and manager are independent

(a) Your answer of 0.60×0.15 = 0.09 is correct

(b) 0.09 of the 0.25 of employees who are MBAs are managers. .09/.25 = 0.36

(c) No. P(MBA | manager) = 0.60 ≠ P(MBA) = 0.25

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The only calculation necessary is the one you did for part (a). Other answers can be based directly on the given data. The chart below is unnecessary.

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )