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WhatisProbability? Thebranchofmathematicsthatinvolvestheanalysisof randomevents. Fewsimpleexamplesofprobabilityaredice throwing, coinflipping, etc. Wegenerallyuseprobabilityinourdailylife, whenweneedto makedecisionsforperformingtaskswhenwearenotsure abouttheoutcome.
MeaningofTheoretical probability Intheoreticalprobability, wedon’tperformanyexperiment, butweuseour knowledgethatwealreadyhaveregardingthesamesituationandguessthe probabilityoftheoccurrenceofanevent. Theformulaoftheoreticalprobabilityis
MeaningofExperimental probability Experimentalprobabilityofaneventisanestimationoftheoccurrence oftheevent. Itisbasedonhowtheeventtookplaceaftergathering datafromtheexperimentinvarioustrials. Itisalsocalledanempirical probability. Itisbasedondirectobservation. Theformulaof experimentalprobabilityis Probability of an Event P(E) = Number of times an event occurs / Total number of trials.
WhatistheProbability massfunction? Probability mass function is also known as a frequency function. It gives probabilities for discrete random variables. The formula of probability mass function is as follows Px (x) ≥ 0 and ∑xϵRange(x) Px (x) = 1
Whatisthediscrete probability distribution? Thestatisticaldistributionthatreflectstheprobabilitiesof resultswiththefinitevaluesaretermedasadiscreteprobability distribution. Thestatisticaldistributioncanbediscreteorcontinuous.
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