document.write( "Question 1198373: According to the National Health Survey, American men’s heights are normally
\n" ); document.write( "distributed with the mean πœ‡ = 69.7 inches and the standard deviation 𝜎 = 2.8 inches.
\n" ); document.write( "Part a. A man is randomly selected. Find the probability that his height is more than 72
\n" ); document.write( "inches.
\n" ); document.write( "Part b. A man is randomly selected. Find the probability that his height is between 68 and 72
\n" ); document.write( "inches.
\n" ); document.write( "

Algebra.Com's Answer #831941 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "According to the National Health Survey, American men’s heights are normally
\n" ); document.write( "distributed with the mean πœ‡ = 69.7 inches and the standard deviation 𝜎 = 2.8 inches.
\n" ); document.write( "Part a. A man is randomly selected. Find the probability that his height is more than 72
\n" ); document.write( "inches.
\n" ); document.write( "Part b. A man is randomly selected. Find the probability that his height is between 68 and 72
\n" ); document.write( "inches.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "(a)  Normal distribution is a bell-shaped curve.\r\n" );
document.write( "\r\n" );
document.write( "     In part (a), they want you determine the area under this specified curve \r\n" );
document.write( "     to the right from the raw mark of 72\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     P = normalcfd(72, 9999, 69.7, 2.8) = 0.2057   (rounded).    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  In part (b), they want you determine the area under this specified curve \r\n" );
document.write( "     between the raw marks of 68 and 72\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     P = normalcfd(68, 72, 69.7, 2.8) = 0.5224   (rounded).    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To get fun of such calculations and better learn the subject, I recommend to use online calculator \r
\n" ); document.write( "\n" ); document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );