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:

Basidiocarp

The fruiting body of basidiomycete fungi, which is visible as mushrooms or toadstools, playing a key role in sexual reproduction.

Reproduction

is the biological process by which new individual organisms are produced from their parents.

Aboveground

Pertaining to or situated on the surface of the earth; not underground or underwater.

Sexual Spore

A reproductive structure in fungi and some plants formed by the fusion of two distinct parent cells, leading to genetic recombination and variation.