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(chatquestion)...the probability that it is actuaiy OR Let a pair of dice be thrown and the random variable X be the sum of the numbers that oppear 14. on the two dice. Find the mean or expectation of X. SECTION: C Answer the following 15 to 18 questions as directed in the question. (Each question carries 4 marks.) 16 1 Matrix A = 1 15. then prove A -6A +5A +111 0 and from it derive A- 2. -3 -1 3. 9. An open box with square base is to be made of given quantity of card board of area C. 16. 10. WShow that the maximum volume of the box is cubic units. 6/3 OR Find two positive numbers x and y such that their sum is 35 and the product x²y is a maximum. 16. 1-VE dx; Find. VI+Vx 17. 8. In a city, 2% is the increasing rate of population then find the time in which popultion will ge double. (log 2 = 0.6932)

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