Scores on a Test Are Normally Distributed with a Mean

question 125

Multiple Choice

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

---

Definitions:

Autonomous Motivation

is a form of motivation driven by personal interest, enjoyment, or inherent satisfaction, rather than external pressures or rewards.

Psychological Needs

Fundamental human motivations that drive behaviors, including the needs for autonomy, competence, and relatedness.

Physiological Needs

Basic physical requirements for human survival, such as food, water, shelter, and rest.

Autonomous Motivation

The drive to perform an activity for its inherent satisfaction rather than for some separable consequence, reflecting a high level of self-determination.