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The following join probability data apply to fatigue test to run on bronze strips. X represent to failure (in 105) when alternate strips are bent at a high level of deflection. Y represent the same at a lower deflection level.X/Y | 20 | 30 | 40 | 50 |
4 | 0.01 | 0.03 | 0.05 | 0.02 |
5 | 0.03 | 0.1 | 0.08 | 0.04 |
6 | 0.02 | 0.08 | 0.12 | 0.11 |
7 | 0.02 | 0.04 | 0.07 | 0.18 |
- Find the marginal probability distribution for X and Y
- Determine the conditional probability distribution of Y gives X = 5
- Are x and Y independent
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