Binomial Probability: If prob. of marksman gaining a bull is 0.75, then...

PaulG

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I have a question on how to obtain the final answer for a question I came across earlier:
attachment.php

I got up to here:
attachment.php


And from here I was not able to solve for 'n' without graphing it on my graphics calculator and finding the x intercepts. Is there any possible way to do this algebraically, or have I made an error somewhere within my working?

Thanks
 

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I have a question on how to obtain the final answer for a question I came across earlier:
attachment.php

I got up to here:
attachment.php


And from here I was not able to solve for 'n' without graphing it on my graphics calculator and finding the x intercepts. Is there any possible way to do this algebraically, or have I made an error somewhere within my working?

Thanks
Assuming your derivation of the last expression is correct - you'll need to use a numerical method (e.g. Newton-Raphson iteration) to solve this non-linear equation.
 
I have a question on how to obtain the final answer for a question I came across earlier:
attachment.php

I got up to here:
attachment.php


And from here I was not able to solve for 'n' without graphing it on my graphics calculator and finding the x intercepts. Is there any possible way to do this algebraically, or have I made an error somewhere within my working?

Thanks
Continue from
0.1 = qn + p * qn-1
Then
0.1 = qn-1 ( q + p) = qn-1
n = 1 + \(\displaystyle \dfrac{log(0.1)}{log(q)}\)
 
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