document.write( "Question 865351: A new type of light bulb has an average lifespan of 1200 hours with a standard deviation of 75 hours. Use the table to find the probability that a light bulb chosen at random will last less than 1170 hours.\r
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document.write( "How do I find probability using a table? What is the formula?
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Algebra.Com's Answer #521656 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A new type of light bulb has an average lifespan of 1200 hours with a standard deviation of 75 hours. \n" ); document.write( "Use the table to find the probability that a light bulb chosen at random will last less than 1170 hours. \n" ); document.write( "How do I find probability using a table? What is the formula? \n" ); document.write( "------- \n" ); document.write( "Find the z-value of 1170 \n" ); document.write( "z(1170) = (1170-1200)/75 = -0.4 \n" ); document.write( "Note: That means 1170 is 0.4 standard deviations below the mean. \n" ); document.write( "------------------------------------- \n" ); document.write( "Your Problem: \n" ); document.write( "P(x < 1170) = P(z < -0.4) = ? \n" ); document.write( "Note: At this point you have to use your z-chart to find the \n" ); document.write( "area under the normal curve to the left of z = -0.4. That \n" ); document.write( "is the same as the area to the right of +0.4. \n" ); document.write( "---- \n" ); document.write( "I use a TI-84 calculator to get normalcdf(-100,-0.4) = 0.3446 \n" ); document.write( "--------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |