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the number of coins that Josh spots when walking to work is a poisson rv with mean 6. Each coin is equally to be a penny, a nickel, a dime, or a quarter. Josh ignores the pennies but picks up the other coins.

a) Find the expected amount of money that Josh picks up on his way to work

b) find the variance of the amount of money Josh picks up

c) find the probability that Josh picks up exactly 25 cents

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