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:

Delayed Hypersensitivity

A type of immune response that occurs days after exposure to an antigen, involving T cells rather than antibodies.

Eosinophils

A type of white blood cell involved in the body's immune response, particularly related to allergies and infections.

Basophils

A type of white blood cell involved in inflammatory responses and allergic reactions.

Monocytes

A type of white blood cell, part of the human body's immune system, that helps to fight off infections by ingesting bacteria, dead cells, and other debris.