Question

20% of drivers are high risk and 80% are low risk. The number of accidents a...

20% of drivers are high risk and 80% are low risk.

The number of accidents a year made by a driver is Poisson distributed with mean Θ, and is independent of the number of accidents made by the driver in the previous year. For high risk drivers Θ=1 and for low risk drivers Θ=0.1.

Find the expected number of accidents in year 2016 by a driver who had exactly one accident in year 2015.

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