Statistics I - Old Questions

6. The following joint probability data apply to fatigue test to be 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.

    a) Find the marginal probability distribution for X and for Y.

    b) Determine the conditional probability distribution of Y given X=5.

    c) Are X and Y independent?