The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution of x is as follows. (Give your answers correct to two decimal places.) 10 0.31 11 12 13 0.15 0.1 0.12 14 0.32 X P(x) (a) Find the mean of the number of ships that arrive at a harbor on a given day. (b) Find the standard deviation, a, of the number of ships that arrive at a harbor on a given day.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The number of ships to arrive at a harbor on any given day is a random variable represented by \( x \). The probability distribution of \( x \) is as follows. (Give your answers correct to two decimal places.)

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 10 & 11 & 12 & 13 & 14 \\
\hline
P(x) & 0.31 & 0.15 & 0.1 & 0.12 & 0.32 \\
\hline
\end{array}
\]

(a) Find the mean of the number of ships that arrive at a harbor on a given day.

[Textbox for answer]

(b) Find the standard deviation, \( \sigma \), of the number of ships that arrive at a harbor on a given day.

[Textbox for answer]
Transcribed Image Text:The number of ships to arrive at a harbor on any given day is a random variable represented by \( x \). The probability distribution of \( x \) is as follows. (Give your answers correct to two decimal places.) \[ \begin{array}{|c|c|c|c|c|c|} \hline x & 10 & 11 & 12 & 13 & 14 \\ \hline P(x) & 0.31 & 0.15 & 0.1 & 0.12 & 0.32 \\ \hline \end{array} \] (a) Find the mean of the number of ships that arrive at a harbor on a given day. [Textbox for answer] (b) Find the standard deviation, \( \sigma \), of the number of ships that arrive at a harbor on a given day. [Textbox for answer]
Expert Solution
Step 1: Information given is
x1011121314
P(x)0.310.150.10.120.32
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