ECE 313 Corrections to Notes Fall 2010

Your help in debugging and improving the new notes is appreciated. -B. Hajek (b-hajek at illinois dot edu)
• page 7, line 12: "intersection of the complement." should read "intersection of the complements."
• page 9, Example 1.2.2: Third line should begin "be an event" and in the second to last line {red} should be P{red}.
• page 13, Example 1.3.2: 4*3*3*2*1=4! should be 4*3*2*1=4!
• page 13, second line after Example 1.3.2: "such that the order of the objects doesn't matter" should read "such that the order of the objects does matter"
• page 14, Example 1.3.6. The binary sequence given twice should have another 0 at the end, to be 110110010
• page 17, line -8: "a finite" should be "an infinite"
• page 20, Example 2.1.4, the first element of {Y=2} should be (2,2) instead of (1,1)
• page 36, line 10: "The variance of X" should be "The variance of Y"
• page 37, last two lines of Example 2.7.1, p^n should be (1-p)^n and vice versa.
• page 51, last sentence, "way" should be "why."
• page 53, Example 2.11.2, four lines from end should be "or equivalently, if X \geq 6. Note that when X=4 or X=5, the ML rule ..."
• page 56, line -13, q_i=1-p_i
• page 58, line 3, "sending flow down" should be "sending flow up"
• page 58, calculation p_Y(20) is incorrect. Should be p_Y(20)=q_2q_3(p_5q_1q_4+q_5(p_1+p_4-p_1p_4))
• page 63, Example 3.1.3, part (a) of solution: "and are there no values of u" should be "and there are no values of u"
• page 68, In the two equations giving F_X in three cases, the first condition should be c\leq -1 (not u \leq -1)
• page 69, first line of Section 3.3: "A random variable Y" should be "A random variable X"
• page 69, second line of Section 3.3: a\leq b\leq 1 should be a\leq u \leq b.
• page 75, line -4, insert a minus sign in the exponent to get: e^{-\lambda(T-\tau)}
• page 81 Footnote: there is a ~ missing before west, otherwise the webpage shows an error
• page 85, line 6, Var(X)=np(1-p)=1.6
• page 122, Proposition 4.4.2, f_V(v) should be f_Y(v).
• page 124, Example 4.4.6, part (c). The joint pdf should be 9u^2v^2 and the marginal pdf should be 3u^2.
• page 127, last line: F_Y should be F_S
• page 128, second line (first equation): f_X should be f_S and dF_Y(c) should be dF_S(c).
• page 143, line -6, "If Var(Y) \neq 0" should be "If Var(X) \neq 0"
• page 149-150, Solution to example 4.9.5. \sigma^2 should be 2.9167, standard deviation of S should be 54.01, and L\approx 88.84, or 89.
• page 156, lines 7 and 9, and page 157, line 6, E[X|Y=u] should be E[Y|X=u].
• page 157, line -7, X_1,Y_1,X_n, and Y_n should be U_1,V_1,U_n, and V_n, respectively.
• page 159, centered equation, the denominator should be 1-\rho^2, not 2(1-\rho^2)
• page 161, line -7, should be "distribution of Y is Gaussian with . . . "