Elementary Statistics 2nd Edition
2nd Edition
ISBN: 9781259724275
Author: William Navidi, Barry Monk
Publisher: McGraw-Hill Education
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Chapter 5, Problem 11CQ
To determine
The
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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 5 Solutions
Elementary Statistics 2nd Edition
Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 5-8, fill in each blank with the...Ch. 5.1 - In Exercises 9-12, determine whether the statement...Ch. 5.1 - In Exercises 9--12, determine whether the...Ch. 5.1 - In Exercises 9-12, determine whether the statement...Ch. 5.1 - Prob. 12ECh. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...
Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - In Exercises 13-18, assume that a fair die is...Ch. 5.1 - A fair coin has probability 0.5 of coming up...Ch. 5.1 - Roulette wheels in Nevada have 38 pockets. They...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - In Exercises 21-24, assume that a coin is tossed...Ch. 5.1 - How probable is it? Someone computes the...Ch. 5.1 - Do you know SpongeBob? According to a survey by...Ch. 5.1 - Who will you vote for? In a survey of 500 likely...Ch. 5.1 - Job satisfaction: In a poll conducted by the...Ch. 5.1 - True-false exam: A section of an exam contains...Ch. 5.1 - A coin flip: A coil is tossed twee times. The...Ch. 5.1 - Empirical Method: A coin is tossed 400 times and...Ch. 5.1 - Empirical Method: A die is rolled 600 times. On 85...Ch. 5.1 - Pitching: During a recent season, pitcher Clayton...Ch. 5.1 - More Pitching: During a recent season, pitcher Jon...Ch. 5.1 - Risky drivers: An automobile insurance company...Ch. 5.1 - Prob. 36ECh. 5.1 - Roulette: A Nevada roulette wheel has 38 pockets....Ch. 5.1 - More roulette: Refer to Exercise 37. What is the...Ch. 5.1 - Get an education: The General Social Survey asked...Ch. 5.1 - How many kids? The General Social Survey asked...Ch. 5.1 - Hospital visits: According to Agency for...Ch. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Find the probability: What is the probability that...Ch. 5.1 - Find the probability: What is the probability that...Ch. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 5-8, fill in each blank with the...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - In Exercises 9-12, determine whether the statement...Ch. 5.2 - If P(A)=0.75,P(B)=0.4, and P(AandB)=0.25, and...Ch. 5.2 - If P(A)=0.45,P(B)=0.7, and P(AandB)=0.65, find...Ch. 5.2 - If P(A)=0.2,P(B)=0.5, and A and B are mutually...Ch. 5.2 - If P(A)=0.7,P(B)=0.1, and A and B are mutually...Ch. 5.2 - If P(A)=0.3,P(B)=0.4, and P(A and B =0.7, are A...Ch. 5.2 - If P(A)=0.5,P(B)=0.4, and P(A and B =0.8, are A...Ch. 5.2 - If P(A)=0.35, find P(AC).Ch. 5.2 - If P(B)=0.6, find P(BC).Ch. 5.2 - If P(AC)=0.27, find P(A).Ch. 5.2 - If P(BC)=0.64, find P(B).Ch. 5.2 - If P(A)=0, find P(AC).Ch. 5.2 - If P(A)=P(AC), find P(A).Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 25-30, determine whether events A and...Ch. 5.2 - In Exercises 31 and 32, find the complements of...Ch. 5.2 - In Exercises 31 and 32, find the complements of...Ch. 5.2 - Traffic lights: A commuter passes through two...Ch. 5.2 - Dice: Two fair dice are rolled. The first die is...Ch. 5.2 - Car repairs: Let E be the event that a new car...Ch. 5.2 - Sick computers: Let V be the event that a computer...Ch. 5.2 - Computer purchases: Out of 800 large purchases...Ch. 5.2 - Visit your local library: On a recent Saturday. a...Ch. 5.2 - How are your grades? In a recent semester at a...Ch. 5.2 - Statistics grades: In a statistics class of 30...Ch. 5.2 - Sick children: There are 25 students in Mrs. Bushs...Ch. 5.2 - Flawed parts: On a certain day, a foundry...Ch. 5.2 - Prob. 43ECh. 5.2 - The following table presents the number of reports...Ch. 5.2 - Add probabilities? In a certain community, 28% of...Ch. 5.2 - Add probabilities? According to the National...Ch. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - In Exercises 7-10, fill in each blank with the...Ch. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Let A and B be events with P(A)=0.4,P(B)=0.7, and...Ch. 5.3 - Let A and B be events with P(A)=0.6,P(B)=0.4, and...Ch. 5.3 - Let A and B be events with P(A)=0.2 and P(B)=0.9....Ch. 5.3 - Let A and B be events with P(A)=0.5 and P(B)=0.7....Ch. 5.3 - Let A and B be events with P(A)=0.8,P(B)=0.1, and...Ch. 5.3 - Let A and B be events with P(A)=0.3,P(B)=0.5, and...Ch. 5.3 - Let A, B, and C be independent events with...Ch. 5.3 - Let A, B, and C be independent events with...Ch. 5.3 - A fair is tossed four times. What is the...Ch. 5.3 - A fair coin is tossed four times. What is the...Ch. 5.3 - A fair die is rolled three times. What is the...Ch. 5.3 - A fair die is rolled three times. What is the...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - In Exercises 27-30, assume that a student is...Ch. 5.3 - Let A and B be events with P(A)=0.25,P(B)=0.4, and...Ch. 5.3 - Let A and B be events with P(A)=0.6,P(B)=0.9, and...Ch. 5.3 - Let A and B be events with P(A)=0.4,P(B)=0.5, and...Ch. 5.3 - Let A and B be events with P(A)=0.5,P(B)=0.3, and...Ch. 5.3 - A fair die is rolled three times. What is the...Ch. 5.3 - Prob. 36ECh. 5.3 - Job interview: Seven people, named Anna, Bob,...Ch. 5.3 - Shuffle: Charles has songs on a playlist. Each...Ch. 5.3 - Lets eat: A fast-food restaurant chain has 600...Ch. 5.3 - U.S. senators: The following table displays the...Ch. 5.3 - Genetics: A geneticist is studying two genes. Each...Ch. 5.3 - Quality control: A population of 600 semiconductor...Ch. 5.3 - Stay in school: In a recent school year in the...Ch. 5.3 - Management: The Bureau of Labor Statistics...Ch. 5.3 - GED: In a certain school. the probability that a...Ch. 5.3 - Prob. 46ECh. 5.3 - New car: At a certain car dealership, the...Ch. 5.3 - Prob. 48ECh. 5.3 - Target practice: Laura and Philip each fire one...Ch. 5.3 - Bowling: Sarah and Thomas are going bowling. The...Ch. 5.3 - Defective components: A lot of 10 components...Ch. 5.3 - More defective components: A lot of 1000...Ch. 5.3 - Prob. 53ECh. 5.3 - Multiply probabilities? A traffic light at an...Ch. 5.3 - Lottery: Every day: Jorge buys a lottery ticket....Ch. 5.3 - Car warranty: The a certain make of car will need...Ch. 5.3 - Tic-tac-toe: In the game of tic-tac-toe, fall...Ch. 5.3 - Enter your PIN: The technology consulting company...Ch. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Prob. 62ECh. 5.3 - Prob. 63ECh. 5.3 - Prob. 64ECh. 5.3 - Prob. 65ECh. 5.4 - In Exercises 7 and 8, fill in the blank with the...Ch. 5.4 - In Exercises 7 and 8, fill in the blank with the...Ch. 5.4 - Prob. 9ECh. 5.4 - Exercises 9 and 10, determine whether the...Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 9!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 5!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 0!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 12!Ch. 5.4 - In Exercises 11-16, evaluate the factorial. 1!Ch. 5.4 - Prob. 16ECh. 5.4 - In Exercises 17-22, evaluate the permutation. 7P3Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 8P1Ch. 5.4 - In Exercises 17-22, evaluate the permutation....Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 5P4Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 20P0Ch. 5.4 - In Exercises 17-22, evaluate the permutation. 45P5Ch. 5.4 - In Exercises 23-28, evaluate the combination. 9C5Ch. 5.4 - In Exercises 23-28, evaluate the combination. 7C1Ch. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - In Exercises 23-28, evaluate the combination. 12C0Ch. 5.4 - Prob. 28ECh. 5.4 - Pizza time: A local pizza parlor is offering a...Ch. 5.4 - Books: Josephine has chemistry books, three...Ch. 5.4 - Playing the horses: In horseracing, one can make a...Ch. 5.4 - Ice cream: A certain ice cream parlor offers 15...Ch. 5.4 - License plates: In a certain state, license plates...Ch. 5.4 - Committee: The Student Council at a certain school...Ch. 5.4 - Day and night shifts: A company has hired 12 new...Ch. 5.4 - Keep your password safe: A computer password...Ch. 5.4 - Its in your genes: Hunan genetic material ONA) is...Ch. 5.4 - Choosing officers: A committee consists of 10...Ch. 5.4 - Texas hold'em, In the game of Texas hold'em, a...Ch. 5.4 - Blackjack: In single-deck casino blackjack the...Ch. 5.4 - Lottery: In the Georgia Fantasy 5 Lottery, balls...Ch. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5 - Fill in the blank: The probability that a fair...Ch. 5 - Prob. 2CQCh. 5 - State each of the following rules: General...Ch. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - In a group of 100 teenagers, 61 received their...Ch. 5 - A certain has 100 households. Forty-eight...Ch. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Statistics, anyone? Let S be the event that a...Ch. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Defective parts: A process manufactures...Ch. 5 - Music to my ears: Jeri is listening to songs on a...Ch. 5 - Prob. 9RECh. 5 - Heart attack: The following table presents the...Ch. 5 - Rainy weekend: Sally is planning to go away for...Ch. 5 - Prob. 12RECh. 5 - Required courses: Refer to Exercise 12. Assume the...Ch. 5 - Bookshelf: Bart has books: a novel, a biography, a...Ch. 5 - Prob. 15RECh. 5 - Prob. 1WAICh. 5 - Prob. 2WAICh. 5 - Prob. 3WAICh. 5 - Prob. 4WAICh. 5 - Sometimes events are in the form at least a given...Ch. 5 - Prob. 6WAICh. 5 - Prob. 7WAICh. 5 - Prob. 8WAICh. 5 - The following table is a life table, reproduced...Ch. 5 - Prob. 2CSCh. 5 - Prob. 3CSCh. 5 - The following table is a life table, reproduced...Ch. 5 - The following table is a life table, reproduced...Ch. 5 - Prob. 6CSCh. 5 - Prob. 7CSCh. 5 - In Exercise 1-5, we computed the probability that...Ch. 5 - Prob. 9CS
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