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The Length of Time It Takes Students to Complete a Statistics

question 78

Essay

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.
a.Find the mathematical expression for the probability density function.
b.Compute the probability that a student will take between 45 and 50 minutes to complete the examination.
c.Compute the probability that a student will take no more than 40 minutes to complete the examination.
d.What is the expected amount of time it takes a student to complete the examination?
e.What is the variance for the amount of time it takes a student to complete the examination?


Definitions:

Testable Hypothesis

A statement that makes a specific prediction that can be verified or falsified through experimentation or observation.

Research Method

The systematic approach, technique, or way of planning and conducting scientific investigations in any given field of study.

Scientific Theories

Well-substantiated explanations of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment.

Science Goal

The objective or aim pursued in a scientific endeavor to discover, explain, or understand phenomena.

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