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The Uniform Distribution The Uniform Distribution is a Continuous Probability Distribution that is commonly applied when the possible outcomes of an event are bound on an interval yet all values are equally likely. Apply the Uniform Distribution to a scenario The time spent waiting for a bus is uniformly distributed between 0 and 5 minutes. X~ a. What is the probability that a person will wait at most 3 minutes for the bus? P(X ≤ 3) = = b. What is the probability that a person will wait more than 3 minutes for the bus? P(X> 3) = c. What is the probability that a person will wait between 3 and 4 minutes for the bus? P(3 < X < 4) = U (0,5).

The Uniform Distribution The Uniform Distribution is a Continuous Probability Distribution that is commonly applied when the possible outcomes of an event are bound on an interval yet all values are equally likely. Apply the Uniform Distribution to a scenario The time spent waiting for a bus is uniformly distributed between 0 and 5 minutes. X~ a. What is the probability that a person will wait at most 3 minutes for the bus? P(X ≤ 3) = = b. What is the probability that a person will wait more than 3 minutes for the bus? P(X> 3) = c. What is the probability that a person will wait between 3 and 4 minutes for the bus? P(3 < X < 4) = U (0,5).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Uniform Distribution The Uniform Distribution is a Continuous Probability Distribution that is commonly applied when the possible outcomes of an event are bound on an interval yet all values are equally likely. Apply the Uniform Distribution to a scenario The time spent waiting for a bus is uniformly distributed between 0 and 5 minutes. X~ U(0,5). a. What is the probability that a person will wait at most 3 minutes for the bus? P(X ≤ 3) = b. What is the probability that a person will wait more than 3 minutes for the bus? P(X > 3) = c. What is the probability that a person will wait between 3 and 4 minutes for the bus? P(3 < X < 4) = d. Find the 75th percentile of wait times. X = e. What is the mean of these wait times? fl= f. What is the standard deviation of these wait times? 0 = (round to two decimal places)
Transcribed Image Text:The Uniform Distribution The Uniform Distribution is a Continuous Probability Distribution that is commonly applied when the possible outcomes of an event are bound on an interval yet all values are equally likely. Apply the Uniform Distribution to a scenario The time spent waiting for a bus is uniformly distributed between 0 and 5 minutes. X~ U(0,5). a. What is the probability that a person will wait at most 3 minutes for the bus? P(X ≤ 3) = b. What is the probability that a person will wait more than 3 minutes for the bus? P(X > 3) = c. What is the probability that a person will wait between 3 and 4 minutes for the bus? P(3 < X < 4) = d. Find the 75th percentile of wait times. X = e. What is the mean of these wait times? fl= f. What is the standard deviation of these wait times? 0 = (round to two decimal places)
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