Interpret the Mean of a Discrete Random Variable as an Expected

question 79

Multiple Choice

Interpret the Mean of a Discrete Random Variable as an Expected Value
-A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day. The distribution is as follows:
$\begin{array}{l|ccccc}\text { Number sold in a day } & 0 & 5 & 10 & 15 & 20 \\\hline \text { Prob (Number sold) } & 0.1 & 0.15 & 0.19 & 0.16 & 0.4\end{array}$

Find the number of cheesecakes that this local bakery expects to sell in a day.

• A) \(13.05\)
• B) \(13.15\)
• C) \(13.55\)
• D) 10

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Definitions:

Industrial Revolution

A period of major industrialization that took place during the late 1700s and early 1800s which transformed agriculture-based societies into industrial ones.

Mechanization

The process of replacing manual labor with machines, often leading to higher efficiency and productivity in various industries.

Factory Production

The process of manufacturing goods in large quantities using machines in a factory.

World War II

A global conflict that lasted from 1939 to 1945, involving most of the world's nations, including all of the great powers, eventually forming two opposing military alliances: the Allies and the Axis.