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. Suppose in an event of fire, the probability is 95% that fire alarm will ring in a building. Let x denote the number of fire alarm that will ring in case of fire. Suppose there are 3 fire alarms.
a) Write the probability distribution of x.
b) Explain x=0, x=1, x=2 and x=3
b) Draw a tree diagram for this problem.
e) What is the probability that
i) exactly 2 alarm will ring ii) at least 2 alarm will ring iii) at most 2 alarm will ring iv) all 3 alarm will ring.

Anyone please help me

Respuesta :

Hello, there are a few things you need to know in order to solve this problem.

Prerequisite

Probability Trees

Binomial Probability Distribution.

[tex]P(X=x) = nCr * (P^x)(1-P)^{n-x}[/tex]

Commutative Binomial Probability  


a) Write the probability distribution of x.

There are a few ways you can go about doing this.

 View first picture.

b) Explain x=0, x=1, x=2 and x=3

   View second picture

c) Draw a tree diagram for this problem.

   View third picture

d) What is the probability that

    View forth picture.


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