document.write( "Question 601855: Let the random variable Z follow a standard normal distribution. The probability is 0.25 that Z is less than what number? \n" ); document.write( "
Algebra.Com's Answer #380034 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Let the random variable Z follow a standard normal distribution. The probability is 0.25 that Z is less than what number?
\n" ); document.write( "-----
\n" ); document.write( "Draw a normal curve
\n" ); document.write( "Let the horizontal base be the z line.
\n" ); document.write( "z = 0 is the middle point of that base.
\n" ); document.write( "---
\n" ); document.write( "Find a point that has 0.25 of the area to the left.
\n" ); document.write( "---
\n" ); document.write( "Find the z-value of that point.
\n" ); document.write( "inv(0.25) = -0.6745
\n" ); document.write( "====================
\n" ); document.write( "Note: P(z < -0.6745) = 0.25
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );