document.write( "Question 357852: STATISTIC QUESTION:CONSIDERED A BINOMIAL RANDOM VARIABLE WHERE THENUMBER OF TRIALS IS 12 AND THE PROBABILITY OF SUCCESS ON EACH TRIAL IS 0.25 . FIND THE MEAN AND STANDARD DEVIATION OF THE RANDOM VARIABLE.
\n" ); document.write( "2.iF I GO INTO AN ICREAM PARLOR ,AND I HAVE THE CHOICE OF HAVING ONE OF 10 DIFFRENT FLAVORS , WITH ONE OF 5 TOPINGS AND ONE OF 3 DIFFRENT TYPES OF CONES, HOW MANY TIMES CAN I COME BACK TO THIS PLACE AND GET A DIFFRENT ICE CREAM CONE COMBINATION?
\n" ); document.write( "3THERE ARE 10 COLORED BALLS IN A BOX(5RED,3BLUE,2GREEN). WHAT IS THE PROBABILITY OF PICKING OUT THE RED BALL THEN A BLUE BALL (IF I DONOT REPLACE THE RED BALL)?
\n" ); document.write( "PLEASE I'M IN DESPREATE NEED OF HELP . THANK YOU IN ADVANCED. \n" ); document.write( "
Algebra.Com's Answer #255462 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "Hi,
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document.write( "Best to separate what we have to work with: rules, principals,distributions,
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document.write( "definitions, rules governing combinations & permutations etc 
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document.write( "and what decisions need to made to apply what we have to work with. \r
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document.write( "First question is handled using the definition of the mean and standard deviation
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document.write( "for a Bionaomial Distribution
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document.write( "STATISTIC QUESTION:CONSIDERED A BINOMIAL RANDOM VARIABLE WHERE THENUMBER OF 
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document.write( "TRIALS IS 12 AND THE PROBABILITY OF SUCCESS ON EACH TRIAL IS 0.25 . 
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document.write( "FIND THE MEAN AND STANDARD DEVIATION OF THE RANDOM VARIABLE.
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document.write( "P = nCx* \"p%5Ex\"*\"q%5E%28n-x%29\" where p and q are the probabilities of success and failure 
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document.write( "respectively. In this case both p = .25 or 1/4
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document.write( "nCx = \"n%21%2F%28x%21%28n-x%21%29%29\"
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document.write( "Definition of mean = n*p = 12*(1/4) = 3
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document.write( "Definition of standard deviation = \"sqrt%28np%281-p%29%29=+sqrt%283%2A.75%29+=+1.5\"\r
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document.write( "Second question: How many different combinations
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document.write( "\"IF I GO INTO AN ICREAM PARLOR ,AND I HAVE THE CHOICE OF HAVING ONE OF 10 DIFFRENT FLAVORS , WITH ONE OF 5 TOPINGS AND ONE OF 3 DIFFRENT TYPES OF CONES, HOW MANY TIMES CAN I COME BACK TO THIS PLACE AND GET A DIFFRENT ICE CREAM CONE COMBINATION?
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document.write( "Flavors = 10   Toppings = 5   Cone type = 3
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document.write( "different combinations of ice cream cones =10*5*3 = 150\r
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document.write( "Third question: Probability involving \"and\"
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document.write( "3THERE ARE 10 COLORED BALLS IN A BOX(5RED,3BLUE,2GREEN). WHAT IS THE PROBABILITY 
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document.write( "OF PICKING OUT THE RED BALL THEN A BLUE BALL (IF I DONOT REPLACE THE RED BALL)?
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document.write( "P(first is a red ball)= 5/10 or 1/2
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document.write( "P(Blue ball with a red one on gone)= 3/9 or 1/3
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document.write( "P(red and then blues)= (1/2)*)1/3) =1/6
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document.write( "Hope this helps. \n" );
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