Problem 1: Car accidents happen at a busy intersection at a rate of 2.5 accidents every week. Assuming that accidents occur independently of each other at that intersection, find the following: a) Probability that no accidents will happen in a specific week. b) Probability that no accidents will happen in a specific day. c) Probability that 3 or more accidents will happen in a week. d) Probability that 3 or more accidents will happen in one day. e) Given that 2 or more accidents occurred in a specific week, what is the probability that the number of accidents in that week was 4 or more. f) Given that 3 or more accidents occurred in a specific week, what is the probability that the number of accidents in the following week will also be 3 or more. g) Probability that exactly one accident will occur every day of a specific week.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1:
Car accidents happen at a busy intersection at a rate of 2.5 accidents every week. Assuming that
accidents occur independently of each other at that intersection, find the following:
a) Probability that no accidents will happen in a specific week.
b) Probability that no accidents will happen in a specific day.
c) Probability that 3 or more accidents will happen in a week.
d) Probability that 3 or more accidents will happen in one day.
e)
Given that 2 or more accidents occurred in a specific week, what is the probability that the
number of accidents in that week was 4 or more.
f)
Given that 3 or more accidents occurred in a specific week, what is the probability that the
number of accidents in the following week will also be 3 or more.
g) Probability that exactly one accident will occur every day of a specific week.
Transcribed Image Text:Problem 1: Car accidents happen at a busy intersection at a rate of 2.5 accidents every week. Assuming that accidents occur independently of each other at that intersection, find the following: a) Probability that no accidents will happen in a specific week. b) Probability that no accidents will happen in a specific day. c) Probability that 3 or more accidents will happen in a week. d) Probability that 3 or more accidents will happen in one day. e) Given that 2 or more accidents occurred in a specific week, what is the probability that the number of accidents in that week was 4 or more. f) Given that 3 or more accidents occurred in a specific week, what is the probability that the number of accidents in the following week will also be 3 or more. g) Probability that exactly one accident will occur every day of a specific week.
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