The annual premium of a special kind of insurance starts at $1 and is reduced by 10% after each year where no claim has been filed. the probability that a claim is filed in a given year is 0.07, independently of preceding years. what is the pmf of the total premium paid up to and including the year when the first claim is filed?

Step-by-step explanation:

Given the:

The annual premium of special kind of insurance starts at $1000 and reduced by 10%  after each year where no claimed has been filed.

Also give that the claim is filed in given year is 0.07, independently of preceding years.

The PMF of the total premium paid upto and including the year when  first claim is led

i think 1: 2

step-by-step explanation:

geometry: triangles

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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+

25.45584