Solve
Type in the numbers from any problem and every question you could be asked shows up with the work. Tap New problem to practice on paper first, then Show answers.
4. Repeated trials
Same chance every time, independent: free throws, coin flips, dice. None, at least one, exactly k.
| Successes | Probability |
|---|---|
| 0 | 0.0024 |
| 1 | 0.0284 |
| 2 | 0.1323 |
| 3 | 0.3087 |
| 4 | 0.3601 |
| 5 | 0.1681 |
- P(none)0.00240.3^5. And means multiply.
- P(at least one)0.99761 − 0.3^5. Always use the complement.
- P(all 5)0.16810.7^5
- P(exactly 4)0.36015 × 0.7^4 × 0.3^1. The 5 counts the orders.
- P(at most 4)0.8319Add exactly 0 through 4
- P(at least 4)0.52821 − P(at most 3)
- P(exactly 4 | at least one)0.3610.3601 ÷ 0.9976. Given at least one, so that is the new total.
- Expected number np3.55 × 0.7
- SD √(npq)1.0247√(5 × 0.7 × 0.3)