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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.
Absolute Convergence While we first talked about series convergence we in brief mentioned a stronger type of convergence but did not do anything with it as we didn't have any
1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy
Case 1: Suppose we are given expressions like 3abc and 7abc and asked to compute their sum. If this is the case we should not worry much. Because adding like exp
Computation of Covariance Ungrouped Data For a population consisting of paired ungrouped data points {X, Y} where,
Interpolation is a method of statistical estimation and the word literally means 'making insertions'. Let us consider a well-known situation whi
3x3
Classical Probability Consider the experiment of tossing a single coin. Two outcomes are possible, viz. obtaining a head or obtaining a tail. The probability that it is a tail
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
Product Rule: (f g)′ = f ′ g + f g′ As with above the Power Rule, so the Product Rule can be proved either through using the definition of the derivative or this can be proved
1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.
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