It is given that the probability that the candles are orange is 18% so the value of p=0.18.
The sample of 200 is taken so n=200.
The mean is given by:
[tex]\begin{gathered} \mu=np \\ \mu=200\times0.18 \\ \mu=36 \end{gathered}[/tex]The standard deviation is calculated as:
[tex]\begin{gathered} \sigma=\sqrt[]{np(1-p)} \\ \sigma=\sqrt[]{200\times0.18(1-0.18)} \\ \sigma\approx5.4332 \end{gathered}[/tex]Hence the mean of number of orange candles is 36 and standard deviation is 5.4332.
