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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

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Step 1: Identify the given parameters for the Bernoulli experiment. The probability of success in a single trial is . The number of trials is .
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 .
Step 3: Calculate the intensity of the process.
The intensity of the process in 100 trials is .
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Step 1: Identify the given parameters for the Bernoulli experiment. The probability of success in a single trial is p = 0.02. The number of trials is n = 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) = n · p. Step 3: Calculate the intensity of the process. E(X) = n · p E(X) = 100 · 0.02 E(X) = 2 The intensity of the process in 100 trials is 2.