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Department of Mathematics Assignment I Yangon University of Economics Date. E.Math-1001 Use truth table to verify the logical equivalences 1. (pv q) vr pv (qvr) Test the validity of the following argument 2. pvq d. -- 3. Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number and let F be the subset of outcomes in which at least one die shows an odd number. List the elements in (d) E'UF (c) (EUF) (b) F (a) E' The following table shows the performance of a selection of 100 stocks after one year 4. ( Take S to be the set of all stocks represented in the table). Companies Pharmaceutical Electronic Total Internet I Increased V 10 15 30 Unchanged N 30 10 40 Decreased D 10 15 30 Total 50 10 40 100 (a) Use symbols to describe the set of non-Internet stocks that increased. How many element are in this set? (b) Compute n(P'UN). What does this number represent? A bag contains three red marbles, two green ones, one lavender one, two yellows and orange marbles. (a) How many sets of four marbles include all the red ones? (b) How many sets of four marbles include none of the red ones? 5.

Department of Mathematics Assignment I Yangon University of Economics Date. E.Math-1001 Use truth table to verify the logical equivalences 1. (pv q) vr pv (qvr) Test the validity of the following argument 2. pvq d. -- 3. Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number and let F be the subset of outcomes in which at least one die shows an odd number. List the elements in (d) E'UF (c) (EUF) (b) F (a) E' The following table shows the performance of a selection of 100 stocks after one year 4. ( Take S to be the set of all stocks represented in the table). Companies Pharmaceutical Electronic Total Internet I Increased V 10 15 30 Unchanged N 30 10 40 Decreased D 10 15 30 Total 50 10 40 100 (a) Use symbols to describe the set of non-Internet stocks that increased. How many element are in this set? (b) Compute n(P'UN). What does this number represent? A bag contains three red marbles, two green ones, one lavender one, two yellows and orange marbles. (a) How many sets of four marbles include all the red ones? (b) How many sets of four marbles include none of the red ones? 5.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Department of Mathematics Assignment I Yangon University of Economics Date. E.Math-1001 Use truth table to verify the logical equivalences 1. (pv q) vr pv (qvr) Test the validity of the following argument 2. pvq d. -- 3. Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number and let F be the subset of outcomes in which at least one die shows an odd number. List the elements in (d) E'UF (c) (EUF) (b) F (a) E' The following table shows the performance of a selection of 100 stocks after one year 4. ( Take S to be the set of all stocks represented in the table). Companies Pharmaceutical Electronic Total Internet I Increased V 10 15 30 Unchanged N 30 10 40 Decreased D 10 15 30 Total 50 10 40 100 (a) Use symbols to describe the set of non-Internet stocks that increased. How many element are in this set? (b) Compute n(P'UN). What does this number represent? A bag contains three red marbles, two green ones, one lavender one, two yellows and orange marbles. (a) How many sets of four marbles include all the red ones? (b) How many sets of four marbles include none of the red ones? 5.
Transcribed Image Text:Department of Mathematics Assignment I Yangon University of Economics Date. E.Math-1001 Use truth table to verify the logical equivalences 1. (pv q) vr pv (qvr) Test the validity of the following argument 2. pvq d. -- 3. Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number and let F be the subset of outcomes in which at least one die shows an odd number. List the elements in (d) E'UF (c) (EUF) (b) F (a) E' The following table shows the performance of a selection of 100 stocks after one year 4. ( Take S to be the set of all stocks represented in the table). Companies Pharmaceutical Electronic Total Internet I Increased V 10 15 30 Unchanged N 30 10 40 Decreased D 10 15 30 Total 50 10 40 100 (a) Use symbols to describe the set of non-Internet stocks that increased. How many element are in this set? (b) Compute n(P'UN). What does this number represent? A bag contains three red marbles, two green ones, one lavender one, two yellows and orange marbles. (a) How many sets of four marbles include all the red ones? (b) How many sets of four marbles include none of the red ones? 5.
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