# Questions (235)

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Exercise 1-4.2 A telephone switching center survey indicates that one of four calls is a business call, that one-tenth of business calls are long distance, and one­ twentieth of nonbusiness calls are long distance. a) What is the probability that the...
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Exercise 1-5.2 Using the algebra of sets show that the following relations are true: a)" Au(AnB)=A b) AU(AnB)=AuB
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Exercise 1 -7.1 Using the data of Table 1 -3, find the probabilities: a) a 1 000-n resistor that is selected came from bin 4. b) a 1 0-Q resistor that is selected came from bin 3.
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1-1.1 A six-cell storage battery having a nominal terminal voltage of 12 V is connected in series·with an ammeter and a resistor labeled 6 Q. a) List as many random quantities as you can for this circuit. b) If the battery voltage can have _ any valu...
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1-4.5 A company manufactures small electric motors having horse power ratings of 0.1, 0.5, or 1 .0 horsepower and designed for operation with 120 V single-phase ac, 240 V single-phase ac, or 240 V three-phase ac. The motor types can be distinguished ...
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1-5.5 If A and B are subsets in he same space S, find a) (A - B) n (B - A) b) (A- B) nB c) (A -B) u (An B)
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1-7.1 In a digital communication system, messages are encoded into the binary symbols O. and 1. Because of noise· in the system, the incorrect symbol is sometimes received. Suppose that the probability of a 0 being transmitted is 0.4 and the probabil...
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1-8.1 When a pair of dice are rolled, let A be the event of obtaining a number of 6 or greater and let B be the event of obtaining a number of 6 or less. Are events A and B dependent or independent?
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1-10.1 Two men each flip a coin three times. a) What is the probability that both men will get exactly two heads each? b) What is the probability that one man will get no heads .and the other man will get three heads?
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1-1 0.9 Much of the early interest in probability arose out of a desire to predict the results of various gambling games. One such game is roulette in which a wheel is divided into a number of separate compartments and a small ball is caused to spin ...