A traffic light on campus remains red for 55 seconds at a time. A car arrives at that light and finds it red. Assume that the waiting time, t seconds, at the light follows a uniform density function f. (a) Write the density function. r(t) = for Osts 55 (b) Calculate the probability of waiting no more than 20 seconds at the red light. (Round your answer to 4 decimal places.) (c) What percentage of cars will wait at least 35 seconds at the red light? (Round your answer to two decimal places.) %
A traffic light on campus remains red for 55 seconds at a time. A car arrives at that light and finds it red. Assume that the waiting time, t seconds, at the light follows a uniform density function f. (a) Write the density function. r(t) = for Osts 55 (b) Calculate the probability of waiting no more than 20 seconds at the red light. (Round your answer to 4 decimal places.) (c) What percentage of cars will wait at least 35 seconds at the red light? (Round your answer to two decimal places.) %
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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calculus help please , three parts
![A traffic light on campus remains red for 55 seconds at a time. A car arrives at that light and finds it red. Assume that the waiting time, t seconds, at the light follows a uniform density function f.
(a) Write the density function.
f(t) =
for Osts 55
(b) Calculate the probability of waiting no more than 20 seconds at the red light. (Round your answer to 4 decimal places.)
(c) What percentage of cars will wait at least 35 seconds at the red light? (Round your answer to two decimal places.)
%
(d) What proportion of the wait times are less than 35 seconds? (Round your answer to four decimal places.)
(e) What is the average expected wait time?
sec
(1) What is the standard deviation of the wait times? Round to 3 decimal places.
sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e605fd6-0796-4ac9-8527-e73e1bea5801%2Fffda8655-02d7-4890-974a-14de97db895e%2Fpehl6rd_processed.png&w=3840&q=75)
Transcribed Image Text:A traffic light on campus remains red for 55 seconds at a time. A car arrives at that light and finds it red. Assume that the waiting time, t seconds, at the light follows a uniform density function f.
(a) Write the density function.
f(t) =
for Osts 55
(b) Calculate the probability of waiting no more than 20 seconds at the red light. (Round your answer to 4 decimal places.)
(c) What percentage of cars will wait at least 35 seconds at the red light? (Round your answer to two decimal places.)
%
(d) What proportion of the wait times are less than 35 seconds? (Round your answer to four decimal places.)
(e) What is the average expected wait time?
sec
(1) What is the standard deviation of the wait times? Round to 3 decimal places.
sec
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