The Time It Takes a Student to Complete a 3-Hour

question 70

Essay

The time it takes a student to complete a 3-hour business statistics sample exam paper is uniformly distributed between 150 and 230 minutes.
a. What is the probability density function for this uniform distribution?
b. Find the probability that a student will take no more than 180 minutes to complete the sample exam paper.
c. Find the probability that a student will take no less than 205 minutes to complete the sample exam paper.
d. What is the expected amount of time it takes a student to complete the sample exam paper?
e. What is the standard deviation for the amount of time it takes a student to complete the sample exam paper?

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Definitions:

Exploratory Research

A method in research used to investigate a problem that is not clearly defined by gathering preliminary information that will help to define issues and suggest hypotheses.

Causal Research

A form of market research that seeks to determine the cause-and-effect relationships between variables, often through experiments or observational studies.

Descriptive Research

A research method focused on describing characteristics of a population or phenomenon being studied, without influencing variables.

Marketing Effectiveness

Measures how well a company's marketing strategies achieve their intended goals and outcomes, often in terms of increasing sales, market share, or customer engagement.