6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random number X minutes after noon, where X has distribution function if x < 0, x/60 if 0≤x≤ 60, if x > 60. What is the probability that he waits less than five minutes for a bus? P(X ≤ x) = *

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random
number X minutes after noon, where X has distribution function
if x < 0,
{ x ₁²
x/60 if 0≤x≤ 60,
if x > 60.
1
What is the probability that he waits less than five minutes for a bus?
P(X ≤ x) =
Transcribed Image Text:6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random number X minutes after noon, where X has distribution function if x < 0, { x ₁² x/60 if 0≤x≤ 60, if x > 60. 1 What is the probability that he waits less than five minutes for a bus? P(X ≤ x) =
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