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
\n" ); document.write( "\n" ); document.write( "How do I find probability using a table? What is the formula?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #521656 by stanbon(75887)\"\" \"About 
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( "
\n" );