Find the Expected Value of the Following Probability Distribution $$\begin{array} { c c c c c } x & 3 & 9 & 12 & 16 \\P ( X = x ) & 0.3 & 0.5 & 0.1 & 0.1\end{array}$$

question 37

Multiple Choice

Find the expected value of the following probability distribution. $$\begin{array} { c c c c c } x & 3 & 9 & 12 & 16 \\P ( X = x ) & 0.3 & 0.5 & 0.1 & 0.1\end{array}$$

• A)7.3
• B) 4
• C) 2.5
• D) 8.2
• E) 10

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Definitions:

Interaxle Differential

A differential located between the axles of a vehicle, allowing for differences in wheel speed on the same axle.

Differential Pinions

Small gears within a differential that engage with the ring gear to allow for the difference in wheel speed on a vehicle when turning.

Spider

A component within a differential of a vehicle that allows for the distribution of power to the wheels, enabling them to rotate at different speeds.

Hypoid Gears

Gears in which the gear faces are non-parallel and non-intersecting, allowing for smoother and quieter operation, typically used in automotive rear axles.