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A number x is chosen at random from the numbers -3, -2, -1, 0 1, 2, 3. What is the probability that |x| < 2 (Ans: 3/7 )
Ans : x can take 7 values
To get |x| <2 take -1, 0, 1
Probability (| x | < 2) = 3/7
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Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
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