document.write( "Question 729597: It has been reported that 15% of all cars on the highway are traveling at speeds in excess of 65 mph. If the speeds of six random automobiles are measured via radar:
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Algebra.Com's Answer #853127 by ikleyn(53339)\"\" \"About 
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document.write( "(a)  This problem is on binomial distribution.\r\n" );
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document.write( "     Use the formula for n=6 trials, k=3 success and the probability of the individual success\r\n" );
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document.write( "     p = 0.15 in each individual trial\r\n" );
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document.write( "         P = \"C%286%2C3%29%2A0.15%5E3%2A%281-0.15%29%5E3\" = \"220%2A0.15%5E3%2A0.85%5E3\" = 0.4560  (rounded).    ANSWER\r\n" );
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document.write( "(b)  The probability in case (b) is the complement to the probability that all 6 cars are going slower than 65 mph\r\n" );
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document.write( "         P(at least one r...)  = \"1+-+%281-0.15%29%5E6\" = \"1+-+0.85%5E6\" = 0.6229  (rounded).    ANSWER\r\n" );
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