5). Suppose that X2 Poisson co) and Ylx = x2 Binomial (X.P). a). Find the distribution...
Suppose Y follows a Binomial(M,0.4) (a conditional Binomial distribution given M) and M follows a Poisson distribution with mean equal to 5, what is the unconditional distribution of Y? Suppose Y follows a Binomial(M,0.4) (a conditional Binomial distribution given M) and M follows a Poisson distribution with mean equal to 5, what is the unconditional distribution of Y?
Le 1 Suppose that you have a random valables x, and X2 whose distribution are Poisson with parameters n and a respectively Let y = x, + X2, then 2) Find the probability generating function of y. b) Find probability devity function of y. (Pmf) c) Find non factorial moment of y. Do.
5. Suppose X ~ Poisson(A = 5) and Y ~ Poisson(λ = 10), and they are independent. Using the moment generating function method, find the distribution of Z = X + Y.
5. Suppose that Xn ~ Binomial(n,츰) for n 1.2, and X ~ Poisson(λ). Prove that Xn converges in distribution to X by using the moment generating functions for Xn and X
find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, use the appropriate probability table or technology to find the probabilities. The mean number of heart transplants performed per day in a country is about eight Find the probability that the number of heart transplants performed on any given day is (a) exactly six, (b) at least seven (c) no more than four
Suppose that X 1 has a Poisson distribution with mean 2, X 2has a Poisson distribution with mean 3 , X 3 has a Poisson distribution with mean 5 and that X 1 , X 2 and X 3 are independent. Define Y = X 1 + X 2 + X 3. Determine the moment-generating function for Y.
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. Fifty dash seven percent of adults say that they have cheated on a test or exam before. You randomly select eight adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is (a) exactly...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of oil tankers at a port city is 9 per day. The port has facilities to handle up to 12 oil tankers in a day. Find the probability that on a given day, (a) nine oil tankers will arrive, (b) at most...