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Question 4. The probability that an individual will suffer from a bad reaction of a given...

Question 4. The probability that an individual will suffer from a bad reaction of a given serum is .003. Out of 10000 individuals, compute the following probabilities using both the Binomial and Poisson models.

Part 1. P (X = 0) where X is Binomial and then Poisson.

Part 2. P (X > 10) where X is Binomial and then Poisson.

Expert Solution

CASE 1: When is a Binomial Random variable:

PARAMETERS:

Part 1.

Part 2.

The value of this probability can be found using the command "1 - BINOMDIST()" in MS-Excel as shown below.

This implies:

CASE 2: When is a Poisson Random variable:

PARAMETERS:

Therefore,

Part 1.

Part 2.

The value of this probability can be found using the command "1 - POISSON.DIST()" in MS-Excel as shown below.

This implies:

milcah answered 1 week ago

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