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A committee of 7 members is to be formed by selecting numbers at random from a pool of 14 candidates consisting of 5 women and 9 men. 4) What is the probability that there will be at least 3 women in the committee b) At most 6 men in the committee. 20. A graduating student keeps applying for jobs until she has 3 offers. The probability of?
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A committee of 7 members is to be formed by selecting numbers at rando...
Probability of Getting 3 Job Offers

Scenario: A graduating student keeps applying for jobs until she has 3 offers.

Explanation: The student will keep applying for jobs until she receives 3 offers. This means that the number of applications made is not fixed and can vary.

Calculating the Probability:
- The probability of getting a job offer on each application is independent of the previous applications.
- Let's assume the probability of getting a job offer on each application is 'p'.
- Therefore, the probability of not getting a job offer on each application is '1-p'.

Probability of Receiving 3 Offers:
- The student will stop applying for jobs after receiving 3 offers.
- The probability of receiving the first offer is 'p'.
- The probability of receiving the second offer is also 'p'.
- The probability of receiving the third offer is 'p'.
- Therefore, the probability of receiving 3 offers is: p * p * p = p^3.

Conclusion: The probability of the graduating student receiving 3 job offers depends on the probability 'p' of getting a job offer on each application. The student will continue applying for jobs until she has received 3 offers.
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A committee of 7 members is to be formed by selecting numbers at random from a pool of 14 candidates consisting of 5 women and 9 men. 4) What is the probability that there will be at least 3 women in the committee b) At most 6 men in the committee. 20. A graduating student keeps applying for jobs until she has 3 offers. The probability of?
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