csat-suneung 2008 Q13

csat-suneung · South-Korea · csat__math-humanities 4 marks Normal Distribution Finding Unknown Mean from a Given Probability Condition
A physical examination was conducted on 1000 new employees of a company, and it was found that height follows a normal distribution with mean $m$ and standard deviation 10. Among all new employees, 242 had a height of 177 or more. Using the standard normal distribution table on the right, what is the probability that a randomly selected new employee from all new employees has a height of 180 or more? (Here, the unit of height is cm.) [4 points]
$z$$\mathrm { P } ( 0 \leqq Z \leqq z )$
0.70.2580
0.80.2881
0.90.3159
1.00.3413

(1) 0.1587
(2) 0.1841
(3) 0.2119
(4) 0.2267
(5) 0.2420 
A physical examination was conducted on 1000 new employees of a company, and it was found that height follows a normal distribution with mean $m$ and standard deviation 10. Among all new employees, 242 had a height of 177 or more. Using the standard normal distribution table on the right, what is the probability that a randomly selected new employee from all new employees has a height of 180 or more? (Here, the unit of height is cm.) [4 points]

\begin{center}
\begin{tabular}{ | c | c | }
\hline
$z$ & $\mathrm { P } ( 0 \leqq Z \leqq z )$ \\
\hline
0.7 & 0.2580 \\
0.8 & 0.2881 \\
0.9 & 0.3159 \\
1.0 & 0.3413 \\
\hline
\end{tabular}
\end{center}

(1) 0.1587\\
(2) 0.1841\\
(3) 0.2119\\
(4) 0.2267\\
(5) 0.2420
Paper Questions
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