**Question: **The number of coins that Josh spots when walking to work is a Poisson random variable with mean 6. Each coin is equally likely to be a penny, a nickel, a dime, or a quarter. Josh ignores the pennies but picks up the other coins.

- Find the expected amount of money that Josh picks up on his way to work.
- Find the variance of the amount of money that Josh picks up on his way to

work.
- Find the probability that Josh picks up exactly 25 cents on his way to work.

**Analytical Solution**

**Simulation Solution**

**Code**

End of the post 😉

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