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The Central Limit Theorem
The theories was introduced by De Moivre and according to it; if we choose a large number of simple random samples, says from any population and find out the mean of each sample, the distribution of these sample means will tend to be described by the common probability distribution along with a mean µ and variance σ2/n. It is true even if the population itself is not normal distribution. Or the sampling distribution of sample means approaches to a normal distribution irrespective of the distribution of population from whereas the sample is consider and approximation to the normal distribution becomes increasingly close along with increase in sample sizes
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If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans: Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ
Properties of the Indefinite Integral 1. ∫ k f ( x ) dx = k ∫ f ( x ) dx where k refer for any number. Thus, we can factor multiplicative constants out of indefinite integral
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Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An
The boundary of the shaded portion in the adjoining figure consists of our half-circles and two quarter-circles. Find the length of the boundary and the area of the shaded portion
Tangents with Polar Coordinates Here we now require to discuss some calculus topics in terms of polar coordinates. We will begin with finding tangent lines to polar curves.
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