The amount of time cars are parked in a parking lot follows an exponential probability law with parameter 1. The charge for parking in the lot is $1 for each half-hour or less. (a) Find the probability that a car pays k dollars. (b) Suppose that there is a maximum charge of $5. Find the probability that a car pays k dollars.
The amount of time cars are parked in a parking lot follows an exponential probability law with parameter 1. The charge for parking in the lot is $1 for each half-hour or less. (a) Find the probability that a car pays k dollars. (b) Suppose that there is a maximum charge of $5. Find the probability that a car pays k dollars.
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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![The amount of time cars are parked in a parking lot follows an exponential probability
law with parameter 1. The charge for parking in the lot is $1 for each half-hour or less.
(a) Find the probability that a car pays k dollars.
(b) Suppose that there is a maximum charge of $5. Find the probability that a car pays k
dollars.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F285e6d3e-4fa2-4493-a907-6e20691b48b1%2F6af6539e-defa-4644-b2d3-6335bc667a5c%2Foqav1qqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The amount of time cars are parked in a parking lot follows an exponential probability
law with parameter 1. The charge for parking in the lot is $1 for each half-hour or less.
(a) Find the probability that a car pays k dollars.
(b) Suppose that there is a maximum charge of $5. Find the probability that a car pays k
dollars.
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