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If a point is randomly located in an interval (a, b) and
Chapter 4, Problem 48E(choose chapter or problem)
Problem 48E
If a point is randomly located in an interval (a, b) and if Y denotes the location of the point, then Y is assumed to have a uniform distribution over (a, b). A plant efficiency expert randomly selects a location along a 500-foot assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is
a within 25 feet of the end of the line?
b within 25 feet of the beginning of the line?
c closer to the beginning of the line than to the end of the line?
Questions & Answers
QUESTION:
Problem 48E
If a point is randomly located in an interval (a, b) and if Y denotes the location of the point, then Y is assumed to have a uniform distribution over (a, b). A plant efficiency expert randomly selects a location along a 500-foot assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is
a within 25 feet of the end of the line?
b within 25 feet of the beginning of the line?
c closer to the beginning of the line than to the end of the line?
ANSWER:
Solutions:
Step 1 of 3:
The location of the point, Y, is assumed to have a uniform distribution over (a,b).
An efficiency expert randomly selects a location along a 500- foot assembly line from which to observe the work habits of workers.
We have to find the probability that the point she seclect is,
- Within 25 feet of the end of the line.
- Within 25 feet of the beginning of the line.
- Closer to the beginning of the line than to the end of the line.