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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, & 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.) (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

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, & 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.) (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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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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