X Is a Normally Distributed Random Variable with a Standard

question 29

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 8.28. (Note: the diagram is not necessarily to scale.)

• A) 7.6
• B) 6.6
• C) 6.0
• D) 5.5

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Definitions:

Cyclic Hemiacetal

A molecule formed from the reaction between an aldehyde and an alcohol resulting in a ring structure containing an oxygen atom.

Ring Oxygen

An oxygen atom that is incorporated into a cyclic structure, often contributing to the ring's chemical properties.

Haworth Structure

A way of representing cyclic sugars as planar rings, focusing on the arrangement of hydroxyl groups around the ring, used in carbohydrate chemistry.

β-D-Glucopyranose

A chemical structure of glucose in its cyclic form, where the glucose molecule forms a six-membered ring, with the hydroxyl group on the first carbon in the beta configuration.