Probability and Statistics - The Science of Uncertainty, Second Edition
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Errata and Minor Changes
- Chapter 1
- p.7, last display - should read A \cap B^c = \{s : s\in A \hbox{ and } s \n
otin B \}
- p.7, last display - should read A \cap B^c = \{s : s\in A \hbox{ and } s \notin B \}
- p. 21, in the proof of Theorem 1.5.1 the formula should be P(A_i\cap B)=P(A_i)P(B|A_i) (thanks to Tom Wehrly)
- Chapter 2
- p. 34 - Example 2.1.2, should say Y(clear) = 7/8 instead of Y(rain)=7/8.
(thanks to Ryan Dubay)
- p. 39 - it seems that the Kindle version is missing this
page.
(thanks to Steven Kern)
- p. 73, Exercise 2.5.8, - the definition of F_Y should be changed to
F_Y(y)=1-(1-y)^3 for 1/2 \leq y \leq 1. (thanks to Thomas Wehrly and his students)
- p. 83 Figure 2.7.1 is actually the plot of $F_{X,Y} (x,y)= x^2y$.
(thanks to Nick Souza)
- p. 124 Exercise 2.10.8 the density should be 3sqrt(x)/2 (thanks to Jason Hrncir)
- Chapter 3
- p. 149 in display 3.3.1, \sigma^2_x should be \sigma^2_X. (thanks to Thomas Wehrly and his students)
- p.156 Definition 3.3.4 should have the condition that both variances are positive since Corr is not defined when either variance equals zero.
(thanks to Thomas Wehrly and his students)
- Chapter 4
- Chapter 5
- Example 5.3.2 - the Exponential(1.5) distribution should have been
labelled as the Exponential(2/3) distribution to reflect the fact that we
parameterize the exponential distribution in the book by the rate
rather than the mean. (thanks to Daren Cline)
- Chapter 6
- p. 355, formula for bootstrap percentile confidence interval should
have left-hand endpoint equal to \hat{psi}_{(1-\gamma)/2}. (thanks to Thomas
Wehrly and his students)
- Chapter 7
- Chapter 8
- p. 458, Problem 8.2.16 - First part of the problem should have
(\sigma_0)^2 < (\sigma_1)^2. (thanks to Daren Cline and his students)
- Chapter 9
- Chapter 10
- Chapter 11
- p. 629, in Example 11.2.12 P_1(X_3=2) = \sum_{k \in S} \sum_{l \in S} p_{1k} p_{kl} p_{l3} should be P_1(X_3=2) = \sum_{k \in S} \sum_{l \in S} p_{1k} p_{kl} p_{l2}. (thanks to Kent Gauen)
- Appendices
- p. 730, solution to 2.1.7 (a) should be W(1) = 2 and solution to (c)
should be W(3) = -1. (thanks to Thomas Wehrly and his students)
- p. 731, solution to 2.4.3(d) should be e^{-4*(26)^{1/4}}.
(thanks to Thomas Wehrly and his students and to Anthony Daspit)
- p. 731, solution to 2.5.1 should read "since F_X(x)=0 for x <1/6 and
F_X(x)=1 for x>=1". (thanks to Jason Hrncir)
- p. 731, solution to 2.5.13(c) should be P(-1 < X <1/2) = 3/4, P(X = 2/5) = 5/12, P(X = 4/5) = 1/4.
- p. 731, solution to 2.5.15 (a) (2/3)e^{-16/25} (b) 11/12 - (2/3)exp{-1/2}
(f) 5/36. (thanks to Jason Hrincir)
- p. 731, solution to 2.6.9(b) density should be f_Z (z) = z^7 /2
for 0 < z < \sqrt(2).
(thanks to Thomas Wehrly and his students)
- p. 731, solution to 2.6.11 should read "for 0 < y < \pi^2 and 0 otherwise".
(thanks to Jason Hrncir)
- p. 732, solution to 2.8.7(c) and (d) change 50,000 to 500,000
(thanks to Thomas Wehrly and Jason Hrncir)
- p. 732, solution to 2.9.1, in the partial derivatives for h_1 and h_2
wrt u_2 the factor of 2 multiplying log(1/u_1) should not be there. (thanks to Jason Hrncir)
- p. 733, solution to 3.1.3(a) should be E(X) = -1. (thanks to Thomas
Wehrly and his students)
- p. 733, solution to 3.2.5 should be -77/3. (thanks to Daren
Cline and his students)
- p. 734, solution to 3.3.11 should be E(X) = 7/2, E(Y) = 7, E(XY) = 329/12, Cov(X,Y) = 32/12. (thanks to Thomas Wehrly and his students)
- p. 734, solution to 3.3.13 should be Cov(Z,W) = 1/36, Corr(Z,W) = 1/17. (thanks to Thomas Wehrly and his students)
- p. 734, solution to 3.5.11 - the corrected solution can be found here.
(thanks to Daren Cline and his students)
- p. 735, solution to 4.1.1 should have P(Y-3 = 1) = 1/8 and
should include P(Y_3 = 2 ) = 1/64. (thanks to Thomas Wehrly and his students)
- p. 736, solution to exercise 4.6.1. The mean of U is 43, not 44. (thanks
to Darren Cline and his students)
- p. 736, solution to 4.6.3 shoud have C_1 = 1/5 and C_3 = 1/2. (thanks to Thomas
Wehrly and his students)
- p. 737, solution to 5.5.1(d) should have the mean as 1.667. (thanks to Thomas Wehrly and his students)
- p. 739, solution to Exercise 7.1.1. (thanks to
Daren Cline)