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Ford wants to forecast new car sales for 2021. The number of cars sold in a...

Ford wants to forecast new car sales for 2021. The number of cars sold in a year is known to be a random variable with a normal distribution with mean (108 )θ and standard deviation 106 , where θ is the unemployment rate during the year. The prior density of θ for 2021 is thought to be approximately N(.035, .005). What is the distribution of cars sales for 2021?

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