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.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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