6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault on rare occasions causes a catastrophe at high speed. Assume that the distribution of the numbe of cars per year will experience the fault is 8 on the average, find the probability that (a) at most 3 cars per year will experience a catastrophe, (b) more than 1 car per year will experience a catastrophe.

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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6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model.
The fault on rare occasions causes a catastrophe at high speed. Assume that the distribution of the number
of cars per year will experience the fault is 8 on the average, find the probability that (a) at most 3 cars per
year will experience a catastrophe, (b) more than 1 car per year will experience a catastrophe.
Transcribed Image Text:6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault on rare occasions causes a catastrophe at high speed. Assume that the distribution of the number of cars per year will experience the fault is 8 on the average, find the probability that (a) at most 3 cars per year will experience a catastrophe, (b) more than 1 car per year will experience a catastrophe.
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