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a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is 1/5.
What is the probability that
i) Both of them will be selected
ii) Only one of them will be selected
ii) None of them will be selected
b) In a factory, Machine A produces 30% of the output. Machine B 25% and Machine C produces the remaining 45%. 1% of the output of Machine A is defective, 1.2% of B's and 2% of C's. In a day's run the three machines produces 10,000 items. An item is drawn at random from a day's output and is defective.
What is the probability that it was produced by
i) Machine A
ii) Machine B
iii) Machine C
A reaction following first-order kinetics was studied by determining the reactant concentrations at equal time intervals. Each successive pair of concentrations, [A] o and [A] 1
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Find the sum of a+b, a-b, a-3b, ...... to 22 terms. Ans: a + b, a - b, a - 3b, up to 22 terms d= a - b - a - b = 2b S22 =22/2 [2(a+b)+21(-2b)] 11[2a + 2b - 42b] =
Algebraic Word Problems: Equations: 1. The total electrical output of one nuclear facility is 200 megawatts more than that of another nuclear facility. Let L be the
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One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int
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Leptokurtic a) A frequency distribution which is lepkurtic has normally a higher peak than that of the general distribution. The coefficient of kurtosis while determined will
An elevated cylindrical shaped water tower is in require of paint. If the radius of the tower is 10 ft and the tower is 40 ft tall, what is the net area to be painted? (π = 3.14)
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