Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street crossing is a random variable with the following pdf. f(x) = { 17 (1-x/68)³ 0 ≤ x < 68 0 otherwise If you use this crossing every day for the next 10 days, what is the probability that you will wait for at least 10 seconds on exactly 4 of those days?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street crossing is a random
variable with the following pdf.
f(x) = {1
; (1 − x/68)³ 0 ≤ x < 68
otherwise
If you use this crossing every day for the next 10 days, what is the probability that you will wait for at least 10
seconds on exactly 4 of those days?
Transcribed Image Text:Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street crossing is a random variable with the following pdf. f(x) = {1 ; (1 − x/68)³ 0 ≤ x < 68 otherwise If you use this crossing every day for the next 10 days, what is the probability that you will wait for at least 10 seconds on exactly 4 of those days?
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