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The Intelligence Quotient (IQ) Test Scores Are Normally Distributed with a Mean

question 93

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The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a standard deviation of 15. Given a class with 9 students, what is the probability that the class' average IQ score is between 85 and 115?


Definitions:

(E,E)-Isomer

Refers to a type of geometric isomerism where substituents are positioned on opposite sides of a double bond or rings in a molecule.

(Z,Z)-Isomer

A specific stereoisomer where the highest priority substituents on both sides of a double bond (or bonds) are on the same side, according to CIP rules.

Structures

The arrangement of atoms within a molecule, determining its chemical behavior and properties.

Diels-Alder Reaction

A chemical reaction between a conjugated diene and a substituted alkene (dienophile) to form a cyclohexene derivative, often used in the synthesis of complex natural products.

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