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Math Help - Binomial and Poisson binomial distribution

  1. #1
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    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?
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  2. #2
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    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?
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    Re: Binomial and Poisson binomial distribution

    Quote Originally Posted by chiro View Post
    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)?
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