document.write( "Question 1198373: According to the National Health Survey, American menβs heights are normally
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document.write( "distributed with the mean π = 69.7 inches and the standard deviation π = 2.8 inches.
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document.write( "Part a. A man is randomly selected. Find the probability that his height is more than 72
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document.write( "inches.
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document.write( "Part b. A man is randomly selected. Find the probability that his height is between 68 and 72
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document.write( "inches. \n" );
document.write( "
Algebra.Com's Answer #831941 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "According to the National Health Survey, American menβs heights are normally \n" ); document.write( "distributed with the mean π = 69.7 inches and the standard deviation π = 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( " |