HW9 - • p 375 Problem 33 • p 375 Problem 36 Hint...

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PSTAT 120A, Spring 2010, Homework Assignment 9. Due Wednesday June 2 in lecture. No late homework. Reading: Ross Sections 6.4, 6.5, 7.2 (p. 297-302), 7.4 and 8.2 Complete and clear working must be shown to receive credit. p.289-290 Problem 40 p. 290 Problem 41 Hint: For part (b), ﬁrst ﬁnd the distribution function of Z , then take it’s derivative to get the density function of Z . This is the standard procedure for ﬁnding the p.d.f. of a function of random variables (same method used in Ross § 5.7). p. 375 Problem 30
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Unformatted text preview: • p. 375 Problem 33 • p. 375 Problem 36 Hint: Deﬁne X i = 1 if i th roll lands on 1 and X i = 0 otherwise. Sim-ilarly let Y i = 1 if i th roll lands on 2 and Y i = 0 otherwise. Calculate Cov( X i ,Y j ) for all i,j . Write X and Y in terms of X i and Y i and use properties of covariance. • p. 375 Problem 38 • p. 412 Problem 2 (not to be turned in) • p. 413 Problem 7 (not to be turned in) Self test problems (not to be turned in, solutions p. 504-505) Problems p. 385 Problem 14. 1...
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