01 in a large company it is known that 40% of the employees are college graduate

Question

01 in a large company it is known that 40% of the employees are college graduates and that 60% of the employees are women. Furthermore. -5% of the college graduates are women. If an employee is selected at random. points) Q1.I: What is the probability that the emplovee is both a college graduate and a women? Q12: If a women is selected, what is the probability that she is a college graduate 01.3: What is the probability of selecting either a college uate or a wommen 71.4: Are the events 'college graduate and women dependent or independent? Why?

Explanation / Answer

Assuming 100 employees in total Total graduate non graduate women 60 30 30 others 40 10 30 40 60 Calculation for above table Total graduate non graduate women 100x60% 75% of total graduate total women - graduate others Bal 40% bal. (40 - 30) balance (40 - 10) 40% of 100 balance 60% 1.1 Both women and graduate 30/100 0.300 1.2 women selected - graduate 30/60 0.500 1.3 graduate or women (means total women + other graduate) 60+10/100 0.700 1.4 Events are independent as happening of one does not depend on happening of other Please provide feedback…. Thanks In advance :-)

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