document.write( "Question 705615: Suppose the yearly textbook expenses for a college student are normally distributed with a mean of $850 and a standard deviation of $150.
\n" ); document.write( "a) If there are 2,500,000 college students in US as a population, how many students spend more than $1000 for their textbooks?
\n" ); document.write( "b) What is the probability that a student spend $700 or less per year
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #434751 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Suppose the yearly textbook expenses for a college student are normally distributed with a mean of $850 and a standard deviation of $150.
\n" ); document.write( "a) If there are 2,500,000 college students in US as a population, how many students spend more than $1000 for their textbooks?
\n" ); document.write( "1st:
\n" ); document.write( "z(1000) = (1000-850)/150 = 150/150 = 1
\n" ); document.write( "P(x > 1000) = P(z > 1) = normalcdf(1,100) = 0.1587
\n" ); document.write( "2nd: # that spend more than 1000 = 0.1587*2500,000 is approximately 396639
\n" ); document.write( "------------------
\n" ); document.write( "b) What is the probability that a student spend $700 or less per year
\n" ); document.write( "z(700) = (700-850)/150 = -1
\n" ); document.write( "P(x < 700) = P(z < -1) = 0.1587
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );