For the Given Probability Density Function, Over the Stated Interval

question 86

Multiple Choice

For the given probability density function, over the stated interval, find the requested value.
- $f ( x ) = \left\{ \begin{array} { l l } \frac { 7 } { x ^ { 2 } } & 1 \leq x \leq \frac { 7 } { 6 } \\ 0 \quad & \text { Otherwise } \end{array} ; \right.$ Find the median.

• A) \(7 \ln \left( \frac { 7 } { 6 } \right)\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { 7 } { 12 }\)
• D) \(\frac { 14 } { 13 }\)

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Definitions:

Oil-Immersion Objective

A microscope objective lens designed to be used with a drop of oil to increase resolution by reducing refraction of light.

Total Magnification

The overall enlargement of an image seen with a microscope, calculated by multiplying the objective lens magnification by the ocular lens magnification.

Depth of Field

In photography and optics, the distance between the nearest and the furthest objects that are in acceptably sharp focus.

Total Magnification

The enlargement level of an image as seen through a microscope, calculated by multiplying the objective lens magnification by the eyepiece lens magnification.