Binomial distribution
Task
A coin is tossed 10 times. Calculate the probabilities of getting
- 3 or less heads
- more than 5 heads
- 7, 8, or 9 heads
- exactly 2 heads
Instructions
| 1. | | Select the Binomial Distribution from the drop-down list. Note: A table providing the probabilites P(X k) for 0 k n is created automatically. |
| 2. | | Change the parameter n to 10, since the coin is tossed 10 times
|
| 3. |  | Calculate the probability P(X 3) using the Left Sided button. Note: You are determining the sum of the probabilities of getting 0, 1, 2, or 3 heads. |
| 4. | 
| Calculate the probability P(6 X) using the Right Sided button. Note: You need to find the sum of the probabilities of getting 6, 7, 8, 9, or 10 heads. |
| 5. | 
| Calculate the probability P(7 X 9) using the Interval button. |
| 6. | Use the table to determine the probability P(X = 2). | |
| 7. |
| Find out for which interval limits the probability equals 0.8906. Hint: You can use the Interval button and adjust the interval limits by dragging them directly in the graph. |