document.write( "Question 614980: The independent probability of a passenger arriving for a booked flight on a Maxi service is 0.8. The airline booked 225 passengers and there are 195 seats available on Maxi..Use the Normal distribution to find the probability for a given flight more booked passengers arrive than there are seats available. \n" ); document.write( "
Algebra.Com's Answer #852459 by ikleyn(52946)\"\" \"About 
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\n" ); document.write( "The independent probability of a passenger arriving for a booked flight on a Maxi service is 0.8.
\n" ); document.write( "The airline booked 225 passengers and there are 195 seats available on Maxi.
\n" ); document.write( "Use the Normal distribution to find the probability for a given flight more booked passengers arrive
\n" ); document.write( "than there are seats available.
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\n" ); document.write( "\n" ); document.write( "This is my correction to the post and the solution by @Theo.\r
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\n" ); document.write( "\n" ); document.write( "Theo reduced the original binomial distribution to finding the area
\n" ); document.write( "under the normal distribution curve with the mean of 180 and standard deviation of 6.\r
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\n" ); document.write( "\n" ); document.write( "We are looking for the probability of the number of passengers to be 196 or greater.
\n" ); document.write( "We need to make a continuity correction and to look in the online calculator
\n" ); document.write( "for the option \"above 195.5\".\r
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\n" ); document.write( "\n" ); document.write( "Then the calculator will produce the answer P = 0.0049.\r
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\n" ); document.write( "\n" ); document.write( "It is the correct/expected answer under assigned requirements.\r
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\n" ); document.write( "\n" ); document.write( "Not 0.0062.\r
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