New PDF release: An introduction to mathematical statistics and its

By Richard J. Larsen, Morris L. Marx

ISBN-10: 0321693949

ISBN-13: 9780321693945

ISBN-10: 0321766563

ISBN-13: 9780321766564

Noted for its integration of real-world facts and case experiences, this article deals sound assurance of the theoretical points of mathematical information. The authors display how and while to exploit statistical equipment, whereas reinforcing the calculus that scholars have mastered in prior classes. all through the 5th Edition, the authors have extra and up-to-date examples and case reports, whereas additionally refining current gains that convey a transparent direction from concept to practice.

 

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Extra info for An introduction to mathematical statistics and its applications

Example text

8 Urn I contains two red chips and four white chips; urn II, three red and one white. A chip is drawn at random from urn I and transferred to urn II. Then a chip is drawn from urn II. What is the probability that the chip drawn from urn II is red? Let B be the event “Chip drawn from urn II is red”; let A1 and A2 be the events “Chip transferred from urn I is red” and “Chip transferred from urn I is white,” respectively. 9 A standard poker deck is shuffled and the card on top is removed. What is the probability that the second card is an ace?

Let A, B, and C be any three events defined on a sample space S. 26. 20. Define A = {x : 0 ≤ x ≤ 1}, B = {x : 0 ≤ x ≤ 3}, and C = {x : −1 ≤ x ≤ 2}. 21. Let A be the set of five-card hands dealt from a 52-card poker deck, where the denominations of the five cards are all consecutive—for example, (7 of hearts, 8 of spades, 9 of spades, 10 of hearts, jack of diamonds). Let B be the set of five-card hands where the suits of the five cards are all the same. How many outcomes are in the event A ∩ B? defined on a sample space S.

Draw the Venn diagrams that would correspond to the equations (a) P(A ∩ B) = P(B) and (b) P(A ∪ B) = P(B). 9. In the game of “odd man out” each player tosses a fair coin. If all the coins turn up the same except for one, the player tossing the different coin is declared the odd man out and is eliminated from the contest. Suppose that three people are playing. What is the probability that someone will be eliminated on the first toss? 10. An urn contains twenty-four chips, numbered 1 through 24. One is drawn at random.

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An introduction to mathematical statistics and its applications by Richard J. Larsen, Morris L. Marx


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