STA169 Statistics I

Statistics ITU Board 2078

The following join probability data apply to fatigue test to run on bronze strips. X represent to failure (in 10^5) when alternate strips are bent at a high level of deflection. Y represent the same…

5

The following join probability data apply to fatigue test to run on bronze strips. X represent to failure (in 10^5) 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
A worked answer is on its wayMeanwhile, read the Statistics I notes for this topic.

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