Need help with this difficult math homework problem ASAP. It is due tomorrow. Make sure your handwriting is neat and readable. You have learned about binomial, negative binomial, geometric, and hypergeometric distributions. They are all very similar. By changing just a few words, I can change the problem from one distribution to another. Please provide original examples of each type of distribution along with the solutions.
Need help with this difficult math homework problem ASAP. It is due tomorrow. Make sure your handwriting is neat and readable.
You have learned about binomial, negative binomial, geometric, and hypergeometric distributions. They are all very similar. By changing just a few words, I can change the problem from one distribution to another. Please provide original examples of each type of distribution along with the solutions.
Defination in simple language :
Binomial :
Sample n events with replacement
P(X=r) = nCr*pr * q(n-r)
Where : q = 1-p
Negative binomial :
Sample events until r success happen
P(X=r) = (n+r-1)C(r-1)* pr * qn
Here :
n+r = N
n = N-r
Geometric :
Sample events until one success
P(X=r) = p*q(r-1)
Hypergeometric :
Sample n events without replacement
P(X=r) = KCr * (N-K)C(n-r) / NCn
Here:
N = total
n = trials
K = event happens K times in n trials
r = desired events
* nCr = n!/(r!*(n-r)!)
n! = n*(n-1)*(n-2)*....1
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