csat-suneung 2007 Q9

csat-suneung · South-Korea · csat__math-humanities 3 marks Normal Distribution Direct Probability Calculation from Given Normal Distribution
At a certain car wash, the time required to wash one car follows a normal distribution with mean 30 minutes and standard deviation 2 minutes. When washing one car at this car wash, what is the probability that the washing time is 33 minutes or more, using the standard normal distribution table below? [3 points]
$z$$\mathrm { P } ( 0 \leqq Z \leqq z )$
0.50.1915
1.00.3413
1.50.4332
2.00.4772

(1) 0.0228
(2) 0.0668
(3) 0.1587
(4) 0.2708
(5) 0.3085
At a certain car wash, the time required to wash one car follows a normal distribution with mean 30 minutes and standard deviation 2 minutes. When washing one car at this car wash, what is the probability that the washing time is 33 minutes or more, 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
0.5 & 0.1915 \\
1.0 & 0.3413 \\
1.5 & 0.4332 \\
2.0 & 0.4772 \\
\hline
\end{tabular}
\end{center}

(1) 0.0228\\
(2) 0.0668\\
(3) 0.1587\\
(4) 0.2708\\
(5) 0.3085