Find the Expected Value of the Random Variable What Is the Expected Value of the Number of Employees

question 50

Multiple Choice

Find the expected value of the random variable. Round to the nearest cent unless stated otherwise.
-Sue Anne owns a medium-sized business. Use the probability distribution below, where X describes the number of employees who call in sick on a given day. $$\begin{array} { l | c c c c c } \text { Number of Employees Sick } & 0 & 1 & 2 & 3 & 4 \\\hline \mathrm { P } ( \mathrm { X } = \mathrm { x } ) & 0.05 & 0.4 & 0.3 & 0.15 & 0.1\end{array}$$ What is the expected value of the number of employees calling in sick on any given day? Round
The answer to two decimal places.

• A)2.00
• B)1.90
• C)1.85
• D)1.00

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Definitions:

Oblique-Slip Faults

Faults that exhibit both vertical (dip-slip) and lateral (strike-slip) movement, combining features of normal, reverse, and transform faults.

Normal Fault

A type of fault where the hanging wall slides downward relative to the footwall, typically caused by extensional forces.

Reverse Fault

A type of fault where the hanging wall moves upward relative to the footwall, typically associated with compressional stress.

Strike-Slip Fault

A type of fault where two blocks of Earth's crust slide past each other horizontally, often causing earthquakes.