document.write( "Question 364556: Could someone help me to understand how you get the answer to the problems leisted. I have it to a point but I get stuck. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1. If the random variable z is the standard normal score, is it true that P(-3 < z < 3) > 1? Why or why not?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. Givent a binomial distribution with n = 29 and p = 0.83, would the normal distribution provide a reasonable approximation? Why or why not?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. Find the area under the standard normal curve for the following: a). P(z < -0.25) b). P(0.55 < z < 0) c.) P(-1.91 < z < 1.06)
\n" ); document.write( "

Algebra.Com's Answer #259966 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1. If the random variable z is the standard normal score, is it true that P(-3 < z < 3) > 1? Why or why not?
\n" ); document.write( "---
\n" ); document.write( "No. Maximum area under the normal curve is +1. No probability
\n" ); document.write( "can exceed +1.
\n" ); document.write( "------------------------ \r
\n" ); document.write( "\n" ); document.write( "2. Given a binomial distribution with n = 29 and p = 0.83, would the normal distribution provide a reasonable approximation? Why or why not?
\n" ); document.write( "np = 24
\n" ); document.write( "nq = 4.93
\n" ); document.write( "-------
\n" ); document.write( "Since nq is not > 5 the normal approx should not be used
\n" ); document.write( "-------------------- \r
\n" ); document.write( "\n" ); document.write( "3. Find the area under the standard normal curve for the following:
\n" ); document.write( "a). P(z < -0.25) = normalcdf(-100,-0.25) = 0.4013
\n" ); document.write( "---------------------
\n" ); document.write( "b). P(0.55 < z < 0)
\n" ); document.write( "Note: Your inequality is backward.
\n" ); document.write( "---------------------
\n" ); document.write( "c.) P(-1.91 < z < 1.06) = normalcdf(-1.91<1.06) = 0.8274
\n" ); document.write( "==========================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );