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?

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Definitions:

Filtering

Filtering is the process of selectively focusing on certain information while ignoring other stimuli, often used in processing auditory information or in information theory.

Acoustic Encoding

The process of remembering and understanding something you hear.

Rehearsal

The cognitive process of repeatedly practicing or going over information to aid in memory retention.

Sensory Memory

A type of memory that holds sensory information for a few seconds or less after an item is perceived.