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October 1st, 2013, 04:19 PM   #1
Doc
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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.
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October 1st, 2013, 10:52 PM   #2
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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.
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October 1st, 2013, 11:52 PM   #3
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Re: Basic probability question

Thanks for your help!
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