Need help with making an example for negative binomial using the data provided below. My teacher sent me feedback and said what is the scenario for the negative binomial example? Negative binomial P(success) = p = 0.9 P(failure
Need help with making an example for negative binomial using the data provided below. My teacher sent me feedback and said what is the scenario for the negative binomial example?
Negative binomial
P(success) = p = 0.9
P(failure) = q = 0.7
P(the 2nd accomplishment that occurred in the 8th try) = ?
Now,
N = 8
r = 2
n = N - r = 8 - 2 = 6
Plug into the formula
P(X = 2) = (6 + 2 - 1)C(2 - 1) x 0.9^2 x 0.7^6
P(X = 2) = 0.66706983 rounded to 0.6671
Negative binomial distribution must satisfy the following conditions:
1) The experiment consists of a sequence of sub-experiments called trails
2) Each trail is independent of other trail
3) The outcomes of the trails results in two outcomes i.e., P(Success) and P(failure)
4) The probability of success is same for each and every trail
5) After fixed (r) number of Successes, the experiment will be stopped
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