A traffic light on campus remains red for 30 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) Calculate the car's chances of waiting at least 15 seconds at the red light. (Round your answer to one decimal place.) % (b) Calculate the probability of waiting no more than 15 seconds at the red light. (Round your answer to one decimal place.) % (c) What is the average expected wait time? sec

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...
icon
Related questions
Question
A traffic light on campus remains red for 30 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) Calculate the car's chances of waiting at least 15 seconds at the red light. (Round your answer to one decimal place.)
%
(b) Calculate the probability of waiting no more than 15 seconds at the red light. (Round your answer to one decimal place.)
%
(c) What is the average expected wait time?
sec
Transcribed Image Text:A traffic light on campus remains red for 30 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) Calculate the car's chances of waiting at least 15 seconds at the red light. (Round your answer to one decimal place.) % (b) Calculate the probability of waiting no more than 15 seconds at the red light. (Round your answer to one decimal place.) % (c) What is the average expected wait time? sec
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON