If Random Variable X Is Distributed According to a Uniform

question 41

Multiple Choice

If random variable X is distributed according to a uniform distribution between 0 and 1 (X ~ U[0,1]) ,and you take a random sample of size 35,what is the probability that the sample mean will fall between 0.48 and 0.55?

• A) 0.98
• B) 0.92
• C) 0.76
• D) 0.27
• E) 0.07

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Definitions:

Psychological Discomfort

A state of emotional distress or unease, often arising from situations that challenge one's existing beliefs or perceptions.

Inconsistent Thoughts

Cognitive states or patterns that lack coherence, often characterized by conflicting ideas or beliefs that do not align logically.

Attribution Theory

A theory focused on how people interpret and understand causes behind others' behavior, and how this affects their own behavior and thinking.

Causal Explanation

The process of identifying the reasons or causes behind events, which explains why something happened.