Binomial Probability problem

Rei-Kuromiya

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May 19, 2010
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"A missile has a 70% chance of hitting a target. How many missiles should be fired to make sure the target is destroyed with a probability of .99 or more?"

I tried to use the equation b(n, k; p) to do this but there's something wrong here. Since the problem is asking for the number of missiles and the given information would be "p(chances of hitting a target)= .70" and "q(failure)= .30". Though there's also the probability of the target being destroyed is "p=.99 , q=.01". I'm not sure whether this sort of problem might require me to format the binomial equation a bit differently or the problem requires a different method to solved.

I'd like to know how I should format my equation so that I am able do the rest by myself.
 
It is often advantageous to solve a different problem.

How many missiles must be fired, such that all of them miss, to create a probability of .01 or less?"

0.3^n = 0.01

Done.
 
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