STATISTICS

May 19th, 2015
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The concept of statistics is introduced in this topic. It covers the definition and the application involving the permutations and combinations, probability of any event, Binomial distribution and Normal distribution.

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UNIT 5STATISTICS5.1 Introduction The concept of statistics is introduced in this topic. It covers the definition and the application involving the permutations and combinations, probability of any event, Binomial distribution and Normal distribution.ObjectivesAt the end of the topic, you will be able to:Differentiate between permutations and combinations.Calculate the problem involving permutations and combinations.Estimate the probability of any event.Calculate the probability of events for Binomial and Normal distribution.5.2 Permutations and Combinations5.2.1 Method of CountingThe Multiplication Rule Consider an experiment with two stages, one stage following the other. Suppose there are m possible outcomes in the first stage and that for each of the possible outcomes in the first stage, there are n possible outcomes in the second stage.In general, the multiplication rule is used to find the number of possible outcomes for an experiment that consists of at least two stages.Example 5.1A traveller wants to go to Town D from Town A via Town B and town C. Suppose there are 3 different routes from Town A to Town B, 2 different routes from Town B to Town C and only 1 route from Town C to Town D. How many different routes can the traveller takes?Solution:For this experiment, there are 3 stages;First stage (From Town A to Town B): 3 possible outcomes (routes).Second stage (From Town B to Town C): 2 possible outcomes (routes).Third Stage (F

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