Poisson distribution
Task
In a factory, the mean number of defective products produced in one day is 24. Calculate the probabilities, that on a given day...
- there are exactly 16 defective products.
- there are less than 19 defective products.
- there are at least 36 defective products.
- there are between 20 and 30 defective products.
Instructions
| 1. | | Select the Poisson Distribution from the drop-down list. Note: A table providing the probabilites P(X k) is created automatically. |
| 2. | | Change the parameter to 24, since this is the mean number of defective products produced per day.
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| 3. | Use the table to determine the probability P(X = 16). | |
| 4. |  | Calculate the probability P(X 18) using the Left Sided button. Note: 'Less than 19' means '18 or less defective products'. |
| 5. | 
| Calculate the probability P(36 X) using the Right Sided button. Note: You need to determine the sum of the probabilities of getting 36 or more defective products. |
| 6. | 
| Calculate the probability P(20 X 30) using the Interval button. |