Write a brief Historic Perspective of Probability Define the following: i) Permutation ii) Combination What is Probability? State the Axioms of Probability Write shote notes on the following: i) Experiment ii) Sample Space iii) Event Space iv) Sample Point v) Trials

Mathematics
Write a brief Historic Perspective of Probability Define the following: i) Permutation ii) Combination What is Probability? State the Axioms of Probability Write shote notes on the following: i) Experiment ii) Sample Space iii) Event Space iv) Sample Point v) Trials

ScanSolve AI Answer

Step 1: Identify the given parameters for the Bernoulli experiment. The probability of success in a single trial is p=0.02p = 0.02. The number of trials is n=100n = 100.

Step 2: Understand "Intensity of the Process". In the context of a series of Bernoulli trials, the "intensity of the process" refers to the expected number of successes over the given number of trials. This is the mean of a binomial distribution, given by the formula E(X)=npE(X) = n \cdot p.

Step 3: Calculate the intensity of the process. E(X)=npE(X) = n \cdot p E(X)=1000.02E(X) = 100 \cdot 0.02 E(X)=2E(X) = 2

The intensity of the process in 100 trials is 2\boxed{2}.

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