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Sample Space is the totality of all possible outcomes of an experiment.
Hence if the experiment was inspecting a light bulb, the only possible outcomes are that it is defective or not defective. Hence the sample space has two members, defective or not defective.
Events are said to be mutually exclusive if they cannot occur at the same time when an experiment is performed. Thus, if two events are mutually exclusive the acceptance of one precludes the acceptance of another.
If α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2 b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5 (Ans: a) -1 , b) -6) α + β =
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
what is 8x6 is
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I have a simple right angle triangle. All I am given is h (the hypotenuse) and that ratio of x:y is 2:3. What is the formula to find x and y in terms of h?
A body is constrained to move in a path y = 1+ x^2 and its motion is resisted by friction. The co-efficient of friction is 0.3. The body is acted on by a force F directed towards t
A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre
If three times the larger of the two numbers is divided by the smaller, then the quotient is 4 and remainder is 5. If 6 times the smaller is divided by the larger, the quotient is
Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s
Describe what is meant by each of the following NVH terms and explain their importance in vehicle refinement: (a) Vibration absorber (b) Fast Fourier Transform (c) Whit
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