The probability that there is no accident at a certain busy intersection is 95% on any given day, independently of the other days. (a) Find the probability that there will be no accidents at this intersection during the next 7 days. (b) Find the probability that next September there will be exactly 2 days with accidents. (c) Today was accident-free. Find the probability that there is no accident during the next 4 days, but there is at least by the end of the 10th day.

The probability that there is no accident at a certain busy intersection is 95% on any given day, independently of the other days. (a) Find the probability that there will be no accidents at this intersection during the next 7 days. (b) Find the probability that next September there will be exactly 2 days with accidents. (c) Today was accident-free. Find the probability that there is no accident during the next 4 days, but there is at least by the end of the 10th day.

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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Question

The probability that there is no accident at a certain busy intersection is 95% on any given day, independently of the other days.

(a) Find the probability that there will be no accidents at this intersection during the next 7 days.

(b) Find the probability that next September there will be exactly 2 days with accidents.

(c) Today was accident-free. Find the probability that there is no accident during the next 4 days, but there is at least by the end of the 10th day.

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