1. Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is (A) greater than 0.5 and less than 1.0 (B) greater than zero and less than 0.5 (C) 10.5 (D) 1.0 (E) None of the Above 2. COFMOW deals with a) Research on maintenance practices of Railway equipments b) Specifications and procurement of machines c) Rehabilitation of diesel locos d) None of the above 3. Choose the CORRECT set of functions, which are linearly dependent. (A) cos 2x , 2 sin x and 2 cos x (B) cos x , sin x and tan x (C) sin x ,2 sin x and 2 cos x (D) cos 2x , sin x and cos x 4. In a CAD package, mirror image of a 2D point P(5,10) is to be obtained about a line which passes through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be (A) (7.5, 5) (B) (10, 5) (C) (7.5, −5) (D) (10, −5) 5. A single degree of freedom system having mass 1 kg and stiffness 10 kN
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