Question: 6.42. Choose a number X using a standard normal dis- tribution. Choose a second number Y using a truncated normal distribution on (-00, X).

6.42. Choose a number X using a standard normal dis- tribution. Choose a second number Y using a truncated normal distribution on (-00, X). (a) Find the joint density function of X and Y. (b) Deduce the marginal density function of Y. (c) Confirm that the marginal density in (b) integrates to 1.

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