document.write( "Question 1192722: The weather in Rochester in December is fairly constant. Records indicate that the low temperature for each day of the month tend to have a uniform distribution over the interval 15 to 35 F. A business man arrives on a randomly selected day in December.\r
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Algebra.Com's Answer #824620 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The weather in Rochester in December is fairly constant. Records indicate that the low temperature for each day
\n" ); document.write( "of the month tend to have a uniform distribution over the interval 15 to 35 F.
\n" ); document.write( "A business man arrives on a randomly selected day in December.
\n" ); document.write( "(a) What is the probability that the temperature will be above 17?
\n" ); document.write( "answer:
\n" ); document.write( "0.05
\n" ); document.write( "(b) What is the probability that the temperature will be between 19 and 32?
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\n" ); document.write( "(c) What is the expected temperature?
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document.write( "(a)  The base interval for comparison is  | 35 - 15 | = 20 degrees of F.\r\n" );
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document.write( "     Working interval is  | 35 - 17 | = 18 degrees of F.\r\n" );
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document.write( "     The probability under the problem' question is the ratio of the working interval to the base interval\r\n" );
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document.write( "         P =  =  = 0.9 = 90%.    ANSWER.        The answer 0.05 in your post is wrong.\r\n" );
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document.write( "(b)  The base interval for comparison is  | 35 - 15 | = 20 degrees of F.\r\n" );
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document.write( "     Working interval is  | 32 - 19 | = 13 degrees of F.\r\n" );
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document.write( "     The probability under the problem' question is the ratio of the working interval to the base interval\r\n" );
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document.write( "         P =  = 0.65 = 65%.    ANSWER.  \r\n" );
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document.write( "(c)  The expected value of the uniform distribution U(a,b) is the same as its mean  . \r\n" );
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document.write( "     Note, that this is precisely the midpoint of the interval [a,b] .\r\n" );
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document.write( "     In this problem, the expected temperature is   =  = 25 degrees of F.\r\n" );
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