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Mathematical Statistics and Data Analys...

3rd Edition

John A. Rice

Publisher: Cengage Learning

ISBN: 9781111793715

Problem 1P:

A coin is tossed three times and the sequence of heads and tails is recorded. a. List the sample...

Problem 2P:

Two six-sided dice are thrown sequentially, and the face values that come up are recorded. a. List...

Problem 3P:

An urn contains three red balls, two green balls, and one white ball. Three balls are drawn without...

Problem 5P:

Let A and B be arbitrary events. Let C be the event that either A occurs or B occurs, but not both....

Problem 6P:

Verify the following extension of the addition rule (a) by an appropriate Venn diagram and (b) by a...

Problem 7P:

Prove Bonferronis inequality: P(AB)P(A)+P(B)1

Problem 8P:

Prove that P(i=1nAi)i=1nP(Ai)

Problem 9P:

The weather forecaster says that the probability of rain on Saturday is 25% and that the probability...

Problem 10P:

Make up another example of Simpsons paradox by changing the numbers in Example B of Section 1.4.

Problem 11P:

The first three digits of a university telephone exchange are 452. If all the sequences of the...

Problem 12P:

In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there...

Problem 13P:

In a game of poker, what is the probability that a five-card hand will contain (a) a straight (five...

Problem 14P:

The four players in a bridge game are each dealt 13 cards. How many ways are there to do this?

Problem 15P:

How many different meals can be made from four kinds of meat, six vegetables, and three starches if...

Problem 16P:

How many different letter arrangements can be obtained from the letters of the word statistically,...

Problem 17P:

In acceptance sampling, a purchaser samples 4 items from a lot of 100 and rejects the lot if 1 or...

Problem 18P:

A lot of n items contains k defectives, and m are selected randomly and inspected. How should the...

Problem 19P:

A committee consists of five Chicanos, two Asians, three African Americans, and two Caucasians. a. A...

Problem 20P:

A deck of 52 cards is shuffled thoroughly. What is the probability that the four aces are all next...

Problem 21P:

A fair coin is tossed five times. What is the probability of getting a sequence of three heads?

Problem 22P:

A standard deck of 52 cards is shuffled thoroughly, and n cards are turned up. What is the...

Problem 23P:

How many ways are there to place n indistinguishable balls in n urns so that exactly one urn is...

Problem 24P:

If n balls are distributed randomly into k urns, what is the probability that the last urn contains...

Problem 25P:

A woman getting dressed up for a night out is asked by her significant other to wear a red dress,...

Problem 26P:

The game of Mastermind starts in the following way: One player selects four pegs, each peg having...

Problem 27P:

If a five-letter word is formed at random (meaning that all sequences of five letters are equally...

Problem 28P:

How many ways are there to encode the 26-letter English alphabet into 8-bit binary words (sequences...

Problem 29P:

A poker player is dealt three spades and two hearts. He discards the two hearts and draws two more...

Problem 30P:

A group of 60 second graders is to be randomly assigned to two classes of 30 each. (The random...

Problem 31P:

Six male and six female dancers perform the Virginia reel. This dance requires that they form a line...

Problem 32P:

A wine taster claims that she can distinguish four vintages of a particular Cabernet. What is the...

Problem 33P:

An elevator containing five people can stop at any of seven floors. What is the probability that no...

Problem 34P:

Prove the following identity: k=0n(nk)(mnnk)=(mn) (Hint: How can each of the summands be...

Problem 35P:

Prove the following two identities both algebraically and by interpreting their meaning...

Problem 38P:

A child has six blocks, three of which are red and three of which are green. How many patterns can...

Problem 39P:

A monkey at a typewriter types each of the 26 letters of the alphabet exactly once, the order being...

Problem 40P:

In how many ways can two octopi shake hands? (There are a number of ways to interpret this...

Problem 41P:

A drawer of socks contains seven black socks, eight blue socks, and nine green socks. Two socks are...

Problem 42P:

How many ways can 11 boys on a soccer team be grouped into 4 forwards, 3 midfielders, 3 defenders,...

Problem 43P:

A software development company has three jobs to do. Two of the jobs require three programmers, and...

Problem 44P:

In how many ways can 12 people be divided into three groups of 4 for an evening of bridge? In how...

Problem 46P:

Urn A has three red balls and two white balls, and urn B has two red balls and five white balls. A...

Problem 47P:

Urn A has four red, three blue, and two green balls. Urn B has two red, three blue, and four green...

Problem 48P:

An urn contains three red and two white balls. A ball is drawn, and then it and another ball of the...

Problem 49P:

A fair coin is tossed three times. a. What is the probability of two or more heads given that there...

Problem 50P:

Two dice are rolled, and the sum of the face values is six. What is the probability that at least...

Problem 51P:

Answer Problem 50 again given that the sum is less than six. 50. Two dice are rolled, and the sum of...

Problem 52P:

Suppose that 5 cards are dealt from a 52-card deck and the first one is a king. What is the...

Problem 53P:

A fire insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively,...

Problem 54P:

This problem introduces a simple meteorological model, more complicated versions of which have been...

Problem 55P:

This problem continues Example D of Section 1.5 and concerns occupational mobility. a. Find P(M1 |...

Problem 56P:

A couple has two children. What is the probability that both are girls given that the oldest is a...

Problem 57P:

There are three cabinets, A, B, and C, each of which has two drawers. Each drawer contains one coin;...

Problem 59P:

A box has three coins. One has two heads, one has two tails, and the other is a fair coin with one...

Problem 60P:

A factory runs three shifts. In a given day, 1% of the items produced by the first shift are...

Problem 61P:

Suppose that chips for an integrated circuit are tested and that the probability that they are...

Problem 63P:

Suppose that the probability of living to be older than 70 is .6 and the probability of living to be...

Problem 64P:

If B is an event, with P(B) 0, show that the set function Q(A) = P(A | B) satisfies the axioms for...

Problem 65P:

Show that if A and B are independent, then A and Bc as well as Ac and Bc are independent.

Problem 66P:

Show that is independent of A for any A.

Problem 68P:

If A is independent of B and B is independent of C, then A is independent of C. Prove this statement...

Problem 69P:

If A and B are disjoint, can they be independent?

Problem 70P:

If A B, can A and B be independent?

Problem 71P:

Show that if A, B, and C are mutually independent, then A B and C are independent and A B and C...

Problem 72P:

Suppose that n components are connected in series. For each unit, there is a backup unit, and the...

Problem 73P:

A system has n independent units, each of which fails with probability p. The system fails only if k...

Problem 74P:

What is the probability that the following system works if each unit fails independently with...

Problem 75P:

This problem deals with an elementary aspect of a simple branching process. A population starts with...

Problem 77P:

A player throws darts at a target. On each trial, independently of the other trials, he hits the...

Problem 78P:

This problem introduces some aspects of a simple genetic model. Assume that genes in an organism...

Corresponding editions of this textbook are also available below:

EBK MATHEMATICAL STATISTICS AND DATA AN

3 Edition

ISBN: 9780100244702

Mathematical Statistics and Data Analysis with CD Data Sets 3rd Edition

3 Edition

ISBN: 9788131501832

EBK MATHEMATICAL STATISTICS AND DATA AN

3 Edition

ISBN: 9780100781948

EBK MATHEMATICAL STATISTICS AND DATA AN

3 Edition

ISBN: 8220100781940

Mathematical Statistics and Data Analysis (with CD Data Sets)

3 Edition

ISBN: 9780534399429

Mathematical Statistics And Data Analysis

9 Edition

ISBN: 9788131519547

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