document.write( "Question 1062260: We throw the same 12-sided (dodecahedron) dice (with numbers 1 to 12) 200 times.
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document.write( "What is the probability that we'll get 70-90 prime numbers? \n" );
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Algebra.Com's Answer #677134 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! the prime numbers on the die are \n" ); document.write( ": \n" ); document.write( "2, 3, 5 , 7 , 11 \n" ); document.write( ": \n" ); document.write( "the probability(Pr) of rolling a prime number on 1 roll is 5/12 \n" ); document.write( ": \n" ); document.write( "we use the binomial probability distribution \n" ); document.write( ": \n" ); document.write( "Pr ( 70 = < X < = 90 ) = Pr ( X < = 90 ) - Pr ( X < 70 ) \n" ); document.write( ": \n" ); document.write( "use binomial probability distribution with n=200, r=70 or 90, p = 5/12, q = 7/12 \n" ); document.write( ": \n" ); document.write( "Pr ( 70 = < X < = 90 ) = 0.82 - 0.02 = 0.80 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |