document.write( "Question 1185603: Fish can feed near the surface or the bottom of a pond. The probability of a
\n" ); document.write( "fish feeding at the surface of a pond is 60%.
\n" ); document.write( "- what is the probability of a fish feeding near the bottom of a pond?
\n" ); document.write( "- are these events mutually exclusive?
\n" ); document.write( "- if we observe 3 fish, what is the probability that one will feed near the
\n" ); document.write( "surface and two will feed near the bottom of a pond \n" ); document.write( "

Algebra.Com's Answer #816437 by Edwin McCravy(20055) $\"\"$ $\"About$

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Question 1185603
\n" ); document.write( "Fish can feed near the surface or the bottom of a pond. The probability of a
\n" ); document.write( "fish feeding at the surface of a pond is 60%.
\n" ); document.write( "- what is the probability of a fish feeding near the bottom of a pond?

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document.write( "100% - 60% = 40%

\n" ); document.write( "- are these events mutually exclusive?

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document.write( "\"Mutually excluSIVE\" is an unfortunate choice of words, though all the textbooks\r\n" );
document.write( "use it.  It should be \"Mutually excluDING\".  When you say \"Two events are\r\n" );
document.write( "mutually exclusive\", that means \"They EXCLUDE each other\".  If one event occurs,\r\n" );
document.write( "the other one cannot occur.   \r\n" );
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document.write( "Since we are talking about ONE SPECIFIC fish, then that ONE fish feeding at the\r\n" );
document.write( "surface EXCLUDES that one fish feeding near the bottom.  Since it says \"a fish\"\r\n" );
document.write( "and not \"some of the fish\", then the events are mutually exclusive.\r\n" );
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document.write( "[However, if it had said \"some fish\", and not \"a fish\", the events would not be\r\n" );
document.write( "mutually exclusive because some fish feeding at the surface DOES NOT EXCLUDE\r\n" );
document.write( "some of the other fish feeding near the bottom.]

\n" ); document.write( "- if we observe 3 fish, what is the probability that one will feed near the
\n" ); document.write( "surface and two will feed near the bottom of a pond

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document.write( "They are mutually exclusive events.  So that's a binomial probability.  We will\r\n" );
document.write( "call a fish feeding near the surface \"a success\" and a fish feeding at the\r\n" );
document.write( "bottom \"a failure\".\r\n" );
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document.write( "Here's the formula:\r\n" );
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document.write( "Substituting:\r\n" );
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document.write( "  \r\n" );
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document.write( "Edwin

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