Zainab runs her own business where she leads guided day-long tours for small groups of tourists in her city. Each tour has a maximum of 3 guests. Let represent the number of customers Zainab gets on a randomly chosen day. Based on previous data, here is the probability distribution of along with summary statistics:
\begin{tabular}{lrrrr}
\hline \# of customers & 0 & 1 & 2 & 3 \\
& 0.20 & 0.10 & 0.40 & 0.30 \\
& & & Mean: & \\
& & & Standard deviation: &
\end{tabular}
It costs Zainab each day to pay for her own transportation to her business, and then each customer she gets pays her . Let represent Zainab's net gain on a randomly chosen day.
What are the mean and standard deviation of ?
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