STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 14, Problem 22E
a.
To determine
Compute the
b.
To determine
Compute the probability that the pet is a cat, given that it is a female.
c.
To determine
Obtain the probability that the pet is a female, given that it is a dog.
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5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
9. The concentration function of a random variable X is defined as
Qx(h) = sup P(x ≤ X ≤x+h), h>0.
Show that, if X and Y are independent random variables, then
Qx+y (h) min{Qx(h). Qr (h)).
Chapter 14 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 14.1 - 1. Back in Chapter 1, we suggested that you sample...Ch. 14.3 - JUST CHECKING
4. The American Association for...Ch. 14.4 - JUST CHECKING
5. Remember our sample of pages in...Ch. 14 - Prob. 1ECh. 14 - Cooking and shopping Forty-five percent of...Ch. 14 - Sports What is the probability that a person likes...Ch. 14 - Sports again From Exercise 3, if someone doesn’t...Ch. 14 - Late to the train A student figures that he has a...Ch. 14 - Field goals A nervous kicker usually makes 70% of...Ch. 14 - Titanic On the Titanic, the probability of...
Ch. 14 - Births If the sex of a child is independent of all...Ch. 14 - Facebook Facebook reports that 70% of its users...Ch. 14 - Online banking A national survey indicated that...Ch. 14 - Facebook again Suppose that the information in...Ch. 14 - Online banking again Suppose that the information...Ch. 14 - Facebook final Given the probabilities in Exercise...Ch. 14 - Online banking last time Given the probabilities...Ch. 14 - Phones Recent research suggests that 73% of...Ch. 14 - Travel Suppose the probability that a U.S....Ch. 14 - Amenities A check of dorm rooms on a large college...Ch. 14 - Workers Employment data at a large company reveal...Ch. 14 - Global survey The marketing research organization...Ch. 14 - Birth order A survey of students in a large...Ch. 14 - 21. Cards You draw a card at random front a...Ch. 14 - Pets In its monthly report, the local animal...Ch. 14 - 59. Health The probabilities that an adult...Ch. 14 - 60. Immigration The table shows the political...Ch. 14 - 25. Global survey, take 2 Look again at the table...Ch. 14 - 26. Birth order, take 2 Look again at the data...Ch. 14 - Sick kids Seventy percent of kids who visit a...Ch. 14 - Sick cars Twenty percent of cars that are...Ch. 14 - 29. Cards You are dealt a hand of three cards, one...Ch. 14 - 30. Another hand You pick three cards at random...Ch. 14 - 63. Batteries A junk box in your room contains a...Ch. 14 - 64. Shirts The soccer team’s shirts have arrived...Ch. 14 - 65. Eligibility A university requires its biology...Ch. 14 - 66. Benefits Fifty-six percent of all American...Ch. 14 - 35. Cell phones in the home A survey found that...Ch. 14 - Prob. 36ECh. 14 - Prob. 37ECh. 14 - Prob. 38ECh. 14 - Prob. 39ECh. 14 - 40. Birth order, finis In Exercises 20 and 26, we...Ch. 14 - Prob. 41ECh. 14 - Prob. 42ECh. 14 - Prob. 43ECh. 14 - Prob. 44ECh. 14 - Prob. 45ECh. 14 - Prob. 46ECh. 14 - Prob. 47ECh. 14 - Prob. 48ECh. 14 - Prob. 49ECh. 14 - Prob. 50ECh. 14 - Prob. 51ECh. 14 - Prob. 52ECh. 14 - Prob. 53ECh. 14 - Prob. 54ECh. 14 - Prob. 55ECh. 14 - 82. No-shows An airline offers discounted...Ch. 14 - Prob. 57ECh. 14 - Prob. 58ECh. 14 - Prob. 59ECh. 14 - Prob. 60E
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