By Richard J. Larsen, Morris L. Marx
Famous for its integration of real-world information and case reviews, this article bargains sound assurance of the theoretical facets of mathematical information. The authors display how and whilst to exploit statistical equipment, whereas reinforcing the calculus that scholars have mastered in past classes. during the 5th version, the authors have extra and up-to-date examples and case stories, whereas additionally refining current beneficial properties that convey a transparent direction from concept to perform.
Read or Download An Introduction to Mathematical Statistics and Its Applications, 5th Edition PDF
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Additional resources for An Introduction to Mathematical Statistics and Its Applications, 5th Edition
11. If State’s football team has a 10% chance of winning Saturday’s game, a 30% chance of winning two weeks from now, and a 65% chance of losing both games, what are their chances of winning exactly once? 12. Events A1 and A2 are such that A1 ∪ A2 = S and A1 ∩ A2 = ∅. Find p2 if P(A1 ) = p1 , P(A2 ) = p2 , and 3 p1 − p2 = 12 . 13. Consolidated Industries has come under considerable pressure to eliminate its seemingly discriminatory X : ﬁrst and last coins have opposite faces Y : exactly two heads appear Assume that each of the sixteen head/tail sequences has the same probability.
What is the probability that the number on the ﬁrst die was at least as large as 4 given that the sum of the two dice was 8? 14. Four cards are dealt from a standard 52-card poker deck. What is the probability that all four are aces given that at least three are aces? (Note: There are 270,725 different sets of four cards that can be dealt. 15. 1, ﬁnd P(A|B). 16. 4, ﬁnd P(A). 17. 2. Find the probability that at least one of the two events occurs given that at most one occurs. 18. Suppose two dice are rolled.
1 shows the sample space associated with the scenario just described. If the prize is actually behind Door #1, the host has no choice but to open Door #3; similarly, if the prize is behind Door #3, the host has no choice but to open Door #1. In the event that the prize is behind Door #2, though, the host would (theoretically) open Door #1 half the time and Door #3 half the time. 1 (Prize Location, Door Opened) Probability (1, 3) (2, 1) (2, 3) (3, 1) 1/3 1/6 1/6 1/3 Notice that the four outcomes in S are not equally likely.
An Introduction to Mathematical Statistics and Its Applications, 5th Edition by Richard J. Larsen, Morris L. Marx