document.write( "Question 627278: A recent study in NJ showed that 50% of all patients will return to the same dentist. Suppose
\n" ); document.write( "nine patients are selected at random, what is the probability that:
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\n" ); document.write( "(c) At least eight will return?
\n" ); document.write( "(d) At least one will return?
\n" ); document.write( "(e) How many patients would be expected to return to the same dentist, i.e., what is the mean of
\n" ); document.write( "the distribution? \n" ); document.write( "

Algebra.Com's Answer #394818 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Note: The probability of x successes in n trials is: 
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document.write( "P = nCx*  where p and q are the probabilities of success and failure respectively. 
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document.write( "In this case p & q are = 1/2 or .5
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document.write( "nCx = 
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document.write( " (a) Exactly five of the patients will return? 9C5(.5)^5(.5)^4 
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document.write( " (b) All nine will return? 9C9(.5)^9
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document.write( " (c) At least eight will return? 1 - 9C9(.5)^9
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document.write( " (d) At least one will return? 9C0(.5)^0(.5^9) + 9C1(.5)^1(.5)^8
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document.write( " (e) How many patients would be expected to return to the same dentist, i.e., what is the mean of the distribution?  \n" );
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