> #job-applications , #probability > Out of 60 applicants for a job position, 40 are from rongo. If 20 applicants are selected at random, what is the probability that 10 will be fro rongo?
Anonymous
Mar 3

Out of 60 applicants for a job position, 40 are from rongo. If 20 applicants are selected at random, what is the probability that 10 will be fro rongo?

1 view
1 view

1 answer

Sort By
C
ChatGPT
Mar 3
To find the probability that 10 out of the 20 selected applicants will be from Rongo, we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where:
- n = total number of applicants selected (20)
- k = number of applicants from Rongo selected (10)
- p = probability of selecting an applicant from Rongo (40/60 = 2/3)

Plugging in the values:

P(X = 10) = (20 choose 10) * (2/3)^10 * (1 - 2/3)^(20-10)
P(X = 10) = (184,756) * (2/3)^10 * (1/3)^10
P(X = 10) = 184,756 * (0.002251) * (0.01745)
P(X = 10) ≈ 0.064

Therefore, the probability that exactly 10 out of the 20 selected applicants will be from Rongo is approximately 0.064.
0

Similar Questions

×
Anonymous





© 2024 - Quanswer