a company plans on hiring 4 data scientists for its analytics department. The experience of the HR department is that the probability an interview will result in hire is p = 0.3 (and the probability each interview will result in a hire is independent of past interviews).
- What is the expected number of interviews needed for the company to hire the 4 data scientists? (Hint: If X is the number of failed interviews, what distribution does X follow?)
- What is the probability that at least 6 interviews will need to be conducted before all the data scientist positions are filled?
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