document.write( "Question 1132881: Assume that thermometer readings are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.)
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document.write( "Between 1.50 and 2.25\r
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document.write( "The probability of getting a reading between 1.50 degrees C and 2.25 degrees C is? \n" );
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Algebra.Com's Answer #750117 by rothauserc(4718) You can put this solution on YOUR website! Probability (P) (1.50 < X < 2.25) = P(X < 2.25) -P(X < 1.50) \n" ); document.write( ": \n" ); document.write( "z-score(2.25) = (2.25 -0)/1 = 2.25 \n" ); document.write( ": \n" ); document.write( "find in table of z-scores the probability corresponding with a z-score of 2.25 \n" ); document.write( ": \n" ); document.write( "P(X < 2.25) = 0.9878 \n" ); document.write( ": \n" ); document.write( "z-score(1.50) = (1.50 -0)/1 = 1.50 \n" ); document.write( ": \n" ); document.write( "P(X < 1.50) = 0.9332 \n" ); document.write( ": \n" ); document.write( "P(1.50 < X < 2.25) = 0.9878 -0.9332 = 0.0546 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |