I'm lost on how to answer these questions. I just don't know where to start. Please help!
The probability of a french hen truly having citizenship is .81, find the probability that exactly 2 hens out of three have citizenship.
and
If there is an infinite number of calling birds, and the probability of a bird actually calling is .63, find the probability of finding the first calling bird on the third attempt.
Please solve and then explain. Thanks!
Let X be the random variable that represents the number of french hens truly having citizenship. Then X has a binomial distribution with n=3 and p=.81. Now what is P(X=2)?
This one is a little more interesting because you're looking for the first success after so many trials. Hence, this one is modeled by a geometric distribution where p=.63. Now what is P(X=3)?If there is an infinite number of calling birds, and the probability of a bird actually calling is .63, find the probability of finding the first calling bird on the third attempt.
Please solve and then explain. Thanks!
I leave it to you to look up their corresponding pdfs and finish working out these problems. Can you proceed?