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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
Describe Independent Events in maths? Events are independent if the outcome of one event does not affect the outcome of the second event. If A represents one independent event
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
How tall does a cone with diameter of 10 inches have to be to fit exactly half of a sphere with a diameter of 10 inches inside it?
Generate a 1000 vertex graph adding edges randomly one at a time. How many edges are added before all isolated vertices disappear? Try the experiment enough times to determine ho
Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=
Determine y′′ for x 2 + y 4 = 10 Solution: We know that to get the second derivative we required the first derivative and to get that w
Confidence Interval The interval estimate or a 'confidence interval' consists of a range as an upper confidence limit and lower confidence limit whether we are confident that a
classification of mathematical modeling
a triangle is 180
Tangent Lines : The first problem which we're going to study is the tangent line problem. Before getting into this problem probably it would be best to define a tangent line.
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