There are three highways in a state. The number of daily accidents that occur on these highways are Poisson random variables. Suppose the probability that zero daily accident happens is 0.75. a) Find the expected value of the number so daily accidents. b) Find the probability that at most 3 accidents occur today. c) Find the probability that at least 1 accident occur today.

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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There are three highways in a state. The number of daily accidents that occur on these
highways are Poisson random variables. Suppose the probability that zero daily accident
happens is 0.75.
a) Find the expected value of the number so daily accidents.
b) Find the probability that at most 3 accidents occur today.
c) Find the probability that at least 1 accident occur today.
Transcribed Image Text:There are three highways in a state. The number of daily accidents that occur on these highways are Poisson random variables. Suppose the probability that zero daily accident happens is 0.75. a) Find the expected value of the number so daily accidents. b) Find the probability that at most 3 accidents occur today. c) Find the probability that at least 1 accident occur today.
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