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UFM Statistics
Poisson Distribution
Q3
Edexcel S2 2010 January — Question 3
Exam Board
Edexcel
Module
S2 (Statistics 2)
Year
2010
Session
January
Topic
Poisson Distribution
Type
Single scaled time period
A robot is programmed to build cars on a production line. The robot breaks down at random at a rate of once every 20 hours.
Find the probability that it will work continuously for 5 hours without a breakdown.
Find the probability that, in an 8 hour period,
the robot will break down at least once,
there are exactly 2 breakdowns. In a particular 8 hour period, the robot broke down twice.
Write down the probability that the robot will break down in the following 8 hour period. Give a reason for your answer.
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