Stats
5th Edition
ISBN: 9780135163825
Author: De Veaux, Richard D., Velleman, Paul F., BOCK, David E.
Publisher: Pearson,
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Question
Chapter 13, Problem 47E
a.
To determine
Check whether the events first flight leaving on time and luggage making the connection are independent or not. Explain the answer.
b.
To determine
Compute the probability that her luggage arrive in Denver with her.
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1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Proof of this Theorem
Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and
set Var X = o². Then, for 0 0,
P(X > x) ≤ e−1x+1²²,
P(|X|> x) ≤ 2e−x+1² 0²
Chapter 13 Solutions
Stats
Ch. 13.1 - 1. Back in Chapter 1, we suggested that you sample...Ch. 13.3 - JUST CHECKING
4. The American Association for...Ch. 13.4 - JUST CHECKING
5. Remember our sample of pages in...Ch. 13 - Prob. 1ECh. 13 - Cooking and shopping Forty-five percent of...Ch. 13 - Sports What is the probability that a person likes...Ch. 13 - Sports again From Exercise 3, if someone doesn’t...Ch. 13 - Late to the train A student figures that he has a...Ch. 13 - Field goals A nervous kicker usually makes 70% of...Ch. 13 - Titanic On the Titanic, the probability of...
Ch. 13 - Births If the sex of a child is independent of all...Ch. 13 - Facebook Facebook reports that 70% of its users...Ch. 13 - Online banking A national survey indicated that...Ch. 13 - Facebook again Suppose that the information in...Ch. 13 - Online banking again Suppose that the information...Ch. 13 - Facebook final Given the probabilities in Exercise...Ch. 13 - Online banking last time Given the probabilities...Ch. 13 - Phones Recent research suggests that 73% of...Ch. 13 - Travel Suppose the probability that a U.S....Ch. 13 - Amenities A check of dorm rooms on a large college...Ch. 13 - Workers Employment data at a large company reveal...Ch. 13 - Global survey The marketing research organization...Ch. 13 - Birth order A survey of students in a large...Ch. 13 - 21. Cards You draw a card at random front a...Ch. 13 - Pets In its monthly report, the local animal...Ch. 13 - 59. Health The probabilities that an adult...Ch. 13 - 60. Immigration The table shows the political...Ch. 13 - 25. Global survey, take 2 Look again at the table...Ch. 13 - 26. Birth order, take 2 Look again at the data...Ch. 13 - Sick kids Seventy percent of kids who visit a...Ch. 13 - Sick cars Twenty percent of cars that are...Ch. 13 - 29. Cards You are dealt a hand of three cards, one...Ch. 13 - 30. Another hand You pick three cards at random...Ch. 13 - 63. Batteries A junk box in your room contains a...Ch. 13 - 64. Shirts The soccer team’s shirts have arrived...Ch. 13 - 65. Eligibility A university requires its biology...Ch. 13 - 66. Benefits Fifty-six percent of all American...Ch. 13 - 35. Cell phones in the home A survey found that...Ch. 13 - Prob. 36ECh. 13 - Prob. 37ECh. 13 - Prob. 38ECh. 13 - Prob. 39ECh. 13 - 40. Birth order, finis In Exercises 20 and 26, we...Ch. 13 - Prob. 41ECh. 13 - Prob. 42ECh. 13 - Prob. 43ECh. 13 - Prob. 44ECh. 13 - Prob. 45ECh. 13 - Prob. 46ECh. 13 - Prob. 47ECh. 13 - Prob. 48ECh. 13 - Prob. 49ECh. 13 - Prob. 50ECh. 13 - Prob. 51ECh. 13 - Prob. 52ECh. 13 - Prob. 53ECh. 13 - Prob. 54ECh. 13 - Prob. 55ECh. 13 - 82. No-shows An airline offers discounted...Ch. 13 - Prob. 57ECh. 13 - Prob. 58ECh. 13 - Prob. 59E
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