A technology company has 70 employees, 38 males and 32 females. Assume that the manager of...
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A technology company has 70 employees, 38 males and 32 females. Assume that the manager of the company will promote 9 employees randomly this year. What is the probability that at least 2 female employees will be promoted?
Homework Answers
We need to find the probability that out of 9 employees, at least two female employees are promoted.
Now let F be the event of a female employee being promoted.
Then we have
with the following probability distribution:
| x | P(X=x) |
| 0 | 0.004094 |
| 1 | 0.03103 |
| 2 | 0.104521 |
| 3 | 0.205375 |
| 4 | 0.259422 |
| 5 | 0.21846 |
| 6 | 0.122644 |
| 7 | 0.044263 |
| 8 | 0.009318 |
| 9 | 0.000872 |
Now we need to find
Hence the required probability is 96.4876%
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