Solution Found!
Solved: Exercises 35 to 38 involve a special type of density curve one that takes
Chapter 2, Problem 36(choose chapter or problem)
Exercises 35 to 38 involve a special type of density curve — one that takes constant height (looks like a horizontal line) over some interval of values. This density curve describes a variable whose values are distributed evenly (uniformly) over some interval of values. We say that such a variable has a uniform distribution.
Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes) that she has to wait for the bus to arrive is described by the uniform distribution below.
(a) Explain why this curve satisfies the two requirements for a density curve.
(b) On what percent of days does Sally have to wait more than 8 minutes for the bus?
(c) On what percent of days does Sally wait between 2.5 and 5.3 minutes for the bus?
Questions & Answers
QUESTION:
Exercises 35 to 38 involve a special type of density curve — one that takes constant height (looks like a horizontal line) over some interval of values. This density curve describes a variable whose values are distributed evenly (uniformly) over some interval of values. We say that such a variable has a uniform distribution.
Where’s the bus? Sally takes the same bus to work every morning. The amount of time (in minutes) that she has to wait for the bus to arrive is described by the uniform distribution below.
(a) Explain why this curve satisfies the two requirements for a density curve.
(b) On what percent of days does Sally have to wait more than 8 minutes for the bus?
(c) On what percent of days does Sally wait between 2.5 and 5.3 minutes for the bus?
ANSWER:Step 1 of 5
Using the uniform distribution of the amount of time (in minutes) that she has to wait for the bus to arrive we can determine the following: