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 me

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

Prerequisite

Probability Trees

Binomial Probability Distribution.

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.

boxplot e is the answer

good luck on your studies! : )

david edward.