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October 31st, 2011, 08:13 AM  #1 
Member Joined: Apr 2011 Posts: 47 Thanks: 0  Probability Question
I have been looking over my class notes and could not find an example of how to do this: A junk box in your room contains ten old batteries, 5 of which are totally dead. You start picking batteries one at a time and testing them. Find the probability that the first two you choose are both good. Also, Find the probability that at least one of first two works. Is there an easy way to explain these? Thank you, as always. EDIT: Just to keep this on one post, I have one further question (maybe more to come ) A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below: x = # of red ____ p(x) = P(X=x) 0 0.02 1 0.21 2 0.53 3 0.1 4 0.1 5 0.04 I have found the number of red lights she expects to hit (2.17). Now it is asking fir the standard deviation. Is there an easy way of doing this? Thank you! 
October 31st, 2011, 10:23 AM  #2  
Senior Member Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0  Re: Probability Question Quote:
probability that at least one of first two works=1 probability no good battery=1(5/10)*(4/9)=7/9  
October 31st, 2011, 10:28 AM  #3  
Senior Member Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0  Re: Probability Question Quote:
x^2 = # of red ____ p(x^2) 0 0.02 1 0.21 4 0.53 9 0.1 16 0.1 25 0.04  
October 31st, 2011, 12:48 PM  #4 
Member Joined: Apr 2011 Posts: 47 Thanks: 0  Re: Probability Question
Thank you for the help. Can you clarify the red light problem though? I do not understand. 
October 31st, 2011, 02:11 PM  #5  
Senior Member Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0  Re: Probability Question Quote:
E(x) you have already. Calcultate now E(x^2) using table I provided.  

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