Question

. 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

Answer 1

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

Prerequisite

Probability Trees

Binomial Probability Distribution.

`P(X=x) = nCr * (P^x)(1-P)^(n-x)`

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.