If a point is randomly located in an interval (a, b), and if X denotes the distance of the point from a, then X is assumed to have a uniform distribution over (a, b). A plant efficiency expert randomly picks a spot along a 500-foot assembly line from which to observe work habits. Find the probability that the point she selects is located as follows: Within 25 feet of the end of the line b Within 25 feet of the beginning of the line Closer to the beginning of the line than to the end of the line

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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5.30
If a point is randomly located in an interval (a, b), and if X denotes the distance of the point from
a, then X is assumed to have a uniform distribution oyer (a, b). A plant efficiency expert randomly
picks a spot along a 500-foot assembly line from which to observe work habits. Find the probability
that the point she selects is located as follows:
Within 25 feet of the end of the line
b Within 25 feet of the beginning of the line
Closer to the beginning of the line than to the end of the line
Transcribed Image Text:5.30 If a point is randomly located in an interval (a, b), and if X denotes the distance of the point from a, then X is assumed to have a uniform distribution oyer (a, b). A plant efficiency expert randomly picks a spot along a 500-foot assembly line from which to observe work habits. Find the probability that the point she selects is located as follows: Within 25 feet of the end of the line b Within 25 feet of the beginning of the line Closer to the beginning of the line than to the end of the line
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