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/Y20304050
40.010.030.050.02
50.030.10.080.04
60.020.080.120.11
70.020.040.070.18
  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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