HW assist question. Currently Stuck

1. Historical data shows that 0.15% of finished products from of a production line is faulty and must be either refurbished or scrapped.You are inspecting a box of 20 units from the latest production batch. What is the probability that you will find one faulty unit? Assume Binomial distribution.

2. Historical data shows that 0.15% of finished products from of a production line is faulty and must be either refurbished or scrapped. You are inspecting a box of 20 units from the latest production batch. What is the probability that you will find at most 3 faulty units? Assume Binomial distribution.

3. Historical data shows that 0.15% of finished products from of a production line is faulty and must be either refurbished or scrapped.You are inspecting a box of 20 units from the latest production batch. What is the probability that you will find at least 5 faulty units? Assume Binomial distribution.

4. Historical data shows that 0.15% of finished products from of a production line is faulty and must be either refurbished or scrapped.You are inspecting a box of 20 units from the latest production batch. What is the expected number of faulty items?

5. A local bar keeps records of Happy Hour (5:00 P.M. to 6:00 PM), number of customers arriving. On average, 10 customers arriving during the happy hour. Let's assume these arrivals follow the Poisson distribution. On a given day, what is probability of exactly 9 customers will arrive during the Happy Hour?