$X$ Is a Normally Distributed Random Variable with a Standard Deviation

question 60

Multiple Choice

$X$ is a normally distributed random variable with a standard deviation of $2.00$ . Find the mean of $X$ if $12.71 \%$ of the area under the distribution curve lies to the right of $10.28$ . (Note: the diagram is not necessarily to scale.)

• A) 8.7
• B) 7.5
• C) 8.0
• D) 9.6

---

Definitions:

Cortex Region

An area within the brain or the bark of a plant. In neuroscience, it primarily refers to the cerebral cortex, a key part of the brain involved in memory, attention, perception, awareness, thought, language, and consciousness.

Blog Mining

A research technique that uses automated tools to find and extract information on the web about a brand and then uses specialized software to analyze these large amounts of text-based data.

Automated Tools

Software or machines programmed to perform tasks without human intervention, often to increase efficiency and accuracy.

Text-Based Data

Information that is presented in the form of text, as opposed to images or other media, and can include numeric data as well as textual content.