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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
On dividing the polynomial 4x 4 - 5x 3 - 39x 2 - 46x - 2 by the polynomial g(x) the quotient is x 2 - 3x - 5 and the remainder is -5x + 8.Find the polynomial g(x). (Ans:4 x 2 +
Twice a number increased by 11 is equal to 32 less than three times the number. Find out the number. Let x = the number. Now translate every part of the sentence. Twice a numb
Show all your work. 80% of your score is for correct justified answers; 20% is for correctly and clearly demonstrating why. For the graphing problems, use www.desmos.com/calculator
Q. Describe the Laws of Sines? Ans. Up to now we have dealt exclusively with right triangles. The Law of Sines and the Law of Cosines are used to solve oblique triangles
Iran is trying to decide whether it should pursue its nuclear weapons program, and its decision will be affected in large measure by what it expects the United States to do. Your a
Limit Comparison Test Assume that we have two series ∑a n and ∑b n with a n , b n ≥ 0 for all n. Determine, If c is positive (i.e. c > 0 ) and is finite (i.e. c
2^(x) + 2^(x+3)=36
Example determines the first four derivatives for following. y = cos x Solution: Again, let's just do so
how much distance is covered by a man if he is travelling at a speed of 45km/h in 5 sec
By using the above data compute the quartile coefficient of skewness Quartile coefficient of skewness = (Q3 + Q1 - 2Q2)/(Q3 + Q1) The positio
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