occurs? (d) If a car accident has not happened in 3 hours, what is the probability it will happen in the next two hours? (e) What is the probability of three car accidents oc- curring in the two hours?

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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Answer only part d and e?

2. The average amount of time until a car accident on a
particular 60 mile stretch of road is 60 minutes. Assume
that car accidents are independent, and that two acci-
dents cannot occur at the same time.
(a) What is the probability of a car accident occurring
in the two hours?
(b) What is the probability of a car accident occurring
between 45 and 75 minutes?
(c) What is the variance of the time until a car accident
occurs?
(d) If a car accident has not happened in 3 hours, what
is the probability it will happen in the next two
hours?
(e) What is the probability of three car accidents oc-
curring in the two hours?
Transcribed Image Text:2. The average amount of time until a car accident on a particular 60 mile stretch of road is 60 minutes. Assume that car accidents are independent, and that two acci- dents cannot occur at the same time. (a) What is the probability of a car accident occurring in the two hours? (b) What is the probability of a car accident occurring between 45 and 75 minutes? (c) What is the variance of the time until a car accident occurs? (d) If a car accident has not happened in 3 hours, what is the probability it will happen in the next two hours? (e) What is the probability of three car accidents oc- curring in the two hours?
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