What is the probability that exactly two claims will be filled if - ProProfs Discuss
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What is the probability that exactly two claims will be filled if Sweeter & Associates write 400 policies for the coming weekend, in the case below?

What is the probability that exactly two claims will be filled if Sweeter & Associates write 400 policies for the coming weekend, in the case below? 
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Asked by Daulatguru, Last updated: Apr 17, 2024

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2 Answers

F. Ray

F. Ray

F. Ray
F. Ray, Student, Kansas City

Answered Dec 26, 2018

The previous answer gives a formula to work with, which results in answer A) 0.0164. It is vaguely familiar to me, as I have not taken a math class in a couple of years. However, I am almost positive that is the correct formula without any additional research.

My reasoning is that it is a probability question, which means there is some multiplication happening since the probability gets smaller the more qualifiers that are put on a situation. The formula includes some multiplication, so that’s that.

However, I wouldn’t go to do other probability questions without doing more research, especially when it comes to insurance claims. Since all the information we needed is in the question this time, as long as we have the right formula, the answer is answer A.

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John Smith

John Smith

John Smith
John Smith

Answered Apr 22, 2017

0.0164

This is a binomial probability. The probability of getting r successes out of n trials where the probability of success each trial is p and probability of failure each trial is q (where q = 1-p) is given by: n!(pr)[q(n-r)]/r!(n-r)!. Here n = 400, r = 2,p = 0.0005 and q = 0.9995. Therefore we have 400!(0.0005^2)(0.9995^398)/2!398! = 0.0164.
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