Your Used Car Is Expected to Last an Average of 200,000

question 2

Essay

Your used car is expected to last an average of 200,000 miles with a standard deviation of 25,000 miles before it requires a new transmission.
A) Use Chebyshev's Theorem to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.
B) Assume a symmetric bell-shaped distribution to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.

• A) Use Chebyshev's Theorem to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.
• B) Assume a symmetric bell-shaped distribution to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.

---

Definitions:

Plate Boundaries

The edges where two or more of Earth's tectonic plates meet, often associated with seismic and volcanic activities.

Fault Systems

Networks of fractures in the Earth's crust along which displacement has occurred, important in understanding the movement of Earth's tectonic plates.

Volcanic Activity

Refers to the eruption of magma from beneath the Earth's crust, forming igneous rocks and often creating mountains or craters.

Strike-Slip Motion

A type of horizontal movement along a fault line, typically found at transform plate boundaries, where two blocks slide past one another.