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October 1st, 2013, 04:19 PM  #1 
Member Joined: Aug 2012 Posts: 71 Thanks: 1  Basic probability question
Hi everyone, I am struggling with the below question: A game of chance involves tossing a biased coin three times. The table below shows the probability distribution of the random variable, H, the number of heads occurring. Calculate the expected number of heads occurring. h: 0 1 2 3 Prob(H=h): 27/125 54/125 36/125 8/125 Thank you for your help. 
October 1st, 2013, 10:52 PM  #2 
Senior Member Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116  Re: Basic probability question
The expected number of heads is: 0 x (probability of 0 heads) + 1 x (prob of 1 head) + 2 x (prob of 2 heads) + 3 x (prob of 3 heads) That's simply from the definition of expected number. 
October 1st, 2013, 11:52 PM  #3 
Member Joined: Aug 2012 Posts: 71 Thanks: 1  Re: Basic probability question
Thanks for your help! 

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