3.56:Joint Density & Conditional Prob|Probability & Statistics for Engineers & Scientists by Walpole

This video describes the conceptual overview related to finding the dependence and independence of two random variables. Also, the use of conditional probability for different ranges of probabilities has been illustrated. The conceptual overview of the joint density function with conditional probability is explained with the help of problem 3.56.
3.56 The joint density function of the random variables X and Y is
f(x, y) = 6x, 0 greater than x less than 1, 0 greater than y less than 1 − x,
0, elsewhere.
(a) Show that X and Y are not independent.
(b) Find P(X 0.3 | Y = 0.5).
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[@mnasssewing]

Hi, where the other questions above from 3.56? Thanks for your efforts.