... and 2 1 03 LEMMA 2DEFINITION 3 LEMMA 3 DEFINITION 490 4 Distribution Functions, Probability Densities, and Their Relationship4.1 .3 Refer to Exercise 3. 3. 13, in Chapter 3, and determine the ... second point which givesthe maximum value to the p.d.f. ᭡Exercises4 .3. 1 Determine the pth quantile xp for each one of the p.d.f.’s given in Exercises 3. 2. 13 15, 3. 3. 13 16 (Exercise 3. 2.14 ... following probabilities:iv) P(3X1+ X2≤ 5);v) P(X1< X2< X 3 );vi) P(X1+ X2= 10|X 3 = 5);vii) P (3 ≤ X1≤ 10|X2= X 3 );viii) P(X1< 3X2|X1> X 3 ).4.2 .3 Let...