A Quiz Consists of 15 Multiple Choice Questions

question 81

Short Answer

A quiz consists of 15 multiple choice questions. Each question has 5 choices, with exactly one correct choice. A student, totally unprepared for the quiz, guesses on each of the 15 questions.
How many questions should the student expect to answer correctly?
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What is the standard deviation of the number of questions answered correctly?
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If at least 9 questions must be answered correctly to pass the quiz, what is the chance the student passes?
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Definitions:

Protons

Positively charged particles located in the nucleus of an atom.

Periodic Table

Tabular arrangement of all known elements by their atomic number.

Atomic Number

The number of protons in the nucleus of an atom, which determines the chemical properties of the element.

Electronegativity

A chemical property that describes the ability of an atom to attract electrons towards itself in a chemical bond.