csat-suneung 2007 Q28 (Probability and Statistics)

csat-suneung · South-Korea · csat__math-science 3 marks Approximating Binomial to Normal Distribution
It is known that $10\%$ of the notebooks displayed in a certain stationery store are products from Company A. When a customer randomly purchases 100 notebooks from this store, find the probability that at least 13 notebooks from Company A are included using the standard normal distribution table below. [3 points]
$z$$\mathrm { P } ( 0 \leqq Z \leqq z )$
0.750.2734
1.000.3413
1.250.3944
1.500.4332

(1) 0.0668
(2) 0.1056
(3) 0.1587
(4) 0.2266
(5) 0.2734
It is known that $10\%$ of the notebooks displayed in a certain stationery store are products from Company A. When a customer randomly purchases 100 notebooks from this store, find the probability that at least 13 notebooks from Company A are included using the standard normal distribution table below. [3 points]

\begin{center}
\begin{tabular}{ | c | c | }
\hline
$z$ & $\mathrm { P } ( 0 \leqq Z \leqq z )$ \\
\hline
0.75 & 0.2734 \\
1.00 & 0.3413 \\
1.25 & 0.3944 \\
1.50 & 0.4332 \\
\hline
\end{tabular}
\end{center}

(1) 0.0668\\
(2) 0.1056\\
(3) 0.1587\\
(4) 0.2266\\
(5) 0.2734