Hypergeometric distribution
Task
You have a deck of 52 cards (4 of the 52 cards are aces). Then you randomly sample 5 cards without putting them back. Calculate the probabilities of getting...
- exactly 2 aces.
- less than 4 aces.
- more than 1 ace.
- 1 to 3 aces.
Instructions
| 1. | | Select the Hypergeometric Distribution from the drop-down list. Note: A table providing the probabilites P(X k) for is created automatically. |
| 2. | | Change the population to 52, since there are 52 cards in the deck.
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| 3. | | Change the parameter n to 4, since there are 4 aces in the deck.
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| 4. | | Change the sample to 5, since you randomly sample 5 cards.
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| 5. | Use the table to determine the probability P(X = 2). | |
| 6. |  | Calculate the probability P(X 3) using the Left Sided button. Note: 'Less than 4' means '3 or less aces'. |
| 7. | 
| Calculate the probability P(2 X) using the Right Sided button. Note: You need to determine the sum of the probabilities of getting 2 or more aces. |
| 8. | 
| Calculate the probability P(1 X 3) using the Interval button. |