Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?

ringearV
2021-03-07
Answered

There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.

Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?

Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?

You can still ask an expert for help

firmablogF

Answered 2021-03-08
Author has **92** answers

Step 1

Given,

There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assuming that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.

$\Rightarrow P\left(Su\mathcal{e}ss\right)=0.8$

$\Rightarrow P\left(failure\right)=1-0.8=0.2$

Step 2

The probability distribution that we would use to calculate the probability of success or failure of Advanced Researchers

Given,

There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assuming that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.

Step 2

The probability distribution that we would use to calculate the probability of success or failure of Advanced Researchers

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The solution is quite complex. Thus, I was interested if we can deduce that $f(n)\ge {x}^{n}$ for some $x\u03f5\mathbb{R}$.

I was interested in Solution of this Non-Homogenous Recurrence Relation

$f(n)=f(n-1)+f(n-3)+1$

The Base conditions are:

$f(0)=1$

$f(1)=2$

$f(2)=3$

Since, the equation is non-homogenous, it will consists of Two Parts.

- Finding solution of Associated Homogenous Recurrence Relation $f(n)=f(n-1)+f(n-3)$

For this the characteristic equation will be ${x}^{3}-{x}^{2}-1=0$

- Finding Particular Solution

one can find answer by inputting $f(n)=f(n-1)+f(n-3)+1,f(0)=1,f(1)=2,f(2)=3$

The solution is quite complex. Thus, I was interested if we can deduce that $f(n)\ge {x}^{n}$ for some $x\u03f5\mathbb{R}$.

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