csat-suneung 2016 Q12

csat-suneung · South-Korea · csat__math-A 3 marks Normal Distribution Direct Probability Calculation from Given Normal Distribution
At a rice collection event, the weight of rice donated by each student follows a normal distribution with mean 1.5 kg and standard deviation 0.2 kg. When one student is randomly selected from those who participated in the event, what is the probability that the weight of rice donated by this student is at least 1.3 kg and at most 1.8 kg, using the standard normal distribution table below? [3 points]
$z$$\mathrm { P } ( 0 \leq Z \leq z )$
1.000.3413
1.250.3944
1.500.4332
1.750.4599

(1) 0.8543
(2) 0.8012
(3) 0.7745
(4) 0.7357
(5) 0.6826
At a rice collection event, the weight of rice donated by each student follows a normal distribution with mean 1.5 kg and standard deviation 0.2 kg. When one student is randomly selected from those who participated in the event, what is the probability that the weight of rice donated by this student is at least 1.3 kg and at most 1.8 kg, using the standard normal distribution table below? [3 points]

\begin{center}
\begin{tabular}{ | c | c | }
\hline
$z$ & $\mathrm { P } ( 0 \leq Z \leq z )$ \\
\hline
1.00 & 0.3413 \\
\hline
1.25 & 0.3944 \\
\hline
1.50 & 0.4332 \\
\hline
1.75 & 0.4599 \\
\hline
\end{tabular}
\end{center}

(1) 0.8543\\
(2) 0.8012\\
(3) 0.7745\\
(4) 0.7357\\
(5) 0.6826