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
  1. Find the marginal probability distribution for X and Y
  2. Determine the conditional probability distribution of Y gives X = 5
  3. Are x and Y independent

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