Please solve 10, 11 and 12.

10. [-/8.33 Points] DETAILS ASWSBE14 5. TB.6.017. MY NOTES ASK YOUR TEACHER If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the probability distribution. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29660754 10/12 9/25/22, 3:26 PM Ch. 5: Discrete Probability Distribution (F) - ECN 221 - SLN 94910, section 94910, Fall 2022 | WebAssign O binomial O Poisson O exponential O hypergeometric Need Help? Read It 11. [-/8.33 Points] DETAILS ASWSBE14 5.TB.6.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate technology to answer this question. The mean number of pages per day written by an author is 29. What is the probability this author writes 33 pages on a particular day? Assume a Poisson distribution for this scenario. O 0.0532 O 0.0713 O 0.8011 O 0.9468 Need Help? Read It 12. [-/8.37 Points] DETAILS ASWSBE14 5.E.022.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 0.15 400 0.25 500 0.35 600 0.25 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29660754 11/12 9/25/22, 3:26 PM Ch. 5: Discrete Probability Distribution (F) - ECN 221 - SLN 94910, section 94910, Fall 2022 | WebAssign (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (in dollars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units? $ Need Help? Read It