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Textbook: Introduction to Scientific Programming and Simulation Using R Second Edition

Chapman & Hall/CRC The R Series Series Editors John M. Chambers Torsten Hothorn Department of Statistics Division of Biostatistics Stanford University University of Zurich Stanford, California, USA Switzerland Duncan Temple Lang Hadley Wickham Department of Statistics RStudio University of California, Davis Boston, Massachusetts, USA Davis, California, USAIs it possible to have an assignment of probabilities such that 1P(A) = 2/3, 1113(3) = 1/5, and MA m B) = 1/4? 11. Let A and B be events in a sample space such that P(A] = a, MB) = ,8, and [HA H B j = 5. Find an expression for the probabilities of the following events in terms of oz, ,8, and of. (a). 3 F1 B. EXERCISES 281 (b). A o E. (e). 3 E. 13. Suppose that P(A) = 0.6. What can you say about P(A B) when (a). A and B are mutually exclusive? (b). A is a subset of B? (c). B is a subset of A