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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 26E
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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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