Solve the Problem. -Scores on a Test Are Normally Distributed with a Mean

question 185

Multiple Choice

Solve the problem.
-Scores on a test are normally distributed with a mean of 68.2 and a standard deviation of 10.4. Estimate the probability that among 75 randomly selected students, at least 20 of them score greater than 78.

• A) 0.0113
• B) 0.0239
• C) 0.1736
• D) 0.0166

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Definitions:

Motor Skill

The ability to perform movements and tasks using the muscles in the body.

Symmetric

A property of a shape or function that indicates balance and evenness, such that the shape or function mirrors itself across a central point or axis.

Median

The middle value in a data set, which separates the higher half from the lower half of the data.

Extreme Values

The smallest or largest values in a data set or distribution, often considered as outliers or as significant for their rarity.