Thread: Binomial and Poisson binomial distribution

1. Binomial and Poisson binomial distribution

Hello, I don't quite understand how to resolve the following problems:

Q1. Give the value of the following expressions, develop.

a. P(4<X<13) if X~B (15; 0,8)
b. P (X>3) if X~Po (7;8)

Q2. In a shop, the quantity of a certain food product consumed each day is a random variable that follows Poisson's binomial distribution. The expectancy is 3.5 unites per day

a) what is the probability that the quantity asked is 2 units per day? Use the appropriate notation.

b) if the sop only has 6 units of this product in store in a day, what is the probability that the seller can't respond to the demand during the day?

c) what should be the average demand in a period of 6 days?

d) what is the probability that the quantity asked is more than 10 units but less than 15 units, during a period of 4 days?

2. Re: Binomial and Poisson binomial distribution

Hey xluux.

As a hint to start off you will need to use either statistical tables or a computer to do the calculations for the Binomial probabilities for P(X = x) with n = 15, p = 0.8 and x = 0 to 15 by adding up all P(X = x) terms in that question.

Have you covered the calculation of the Binomial in class using either statistical tables or a computer?

3. Re: Binomial and Poisson binomial distribution

Originally Posted by chiro
Hey xluux.

As a hint to start off you will need to use either statistical tables or a computer to do the calculations for the Binomial probabilities for P(X = x) with n = 15, p = 0.8 and x = 0 to 15 by adding up all P(X = x) terms in that question.

Have you covered the calculation of the Binomial in class using either statistical tables or a computer?
Hi, yes i did see the calculation of the binomial using the tables...but it only goes from n= 1 to n=20 as for p=0,1 to 0,5...so how to i get the results for 0,8?

So far I've got Y~B (15; 0,2) but then I don't know how to resolve it? is it 1-(Y=1) + (Y=2) [...] (Y=15)?