Here, I describe the relationship between the geometric r.v. and the negative binomial r.v., in a non-rigorous way. Hopefully, this will offer an easier way to remember their MGFs.
Hello! I get very confused with the Negative Binomial questions! I really like how you explain everything! is there a way you can help me understand why this question has and r of 1 and not 2? The probability of rain each day is the same, and occurrences of rain are mutually independent. The expected number of non-rainy days before the next rain is 4. Calculate the probability that the second rain will not occur before 7 non-rainy days
This sounds like it could be more easily interpreted as a binomial dist question. To obtain what is asked, we need there to be 1 or less days of rain within an 8 day span. Thus we want P(X=0)+P(X=1) where X=Binomial with n=8. hope this helps!
Dude I really love the fact that you're relating two concepts into one (showing the similarities between them). I asked my intro to stats teacher if he had any tricks to remember the formulas but he could not give me an answer. I think that the way you're doing it is really good because you can condense information by noticing similarities like you recapped at the end of your video (like getting a 2 for 1 at McDonalds). Great mathematical explanation too, very well done #geometricseriesismybestfriend
Thanks Man! I'm glad you appreciate the videos and that you find them helpful! Personally, I find I can rememeber more easily, mathematical concepts, equations and formulas once I've gone through the derivation or reason as to why they are true and correct. I'm happy others do to!
Can we define the geometric distribution as the number of trials TO first success, Including the first success? Would that be different from number of trials before first success
