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CHAPTER 3: Random Variables and Probability Distributions

CHAPTER3: RandomVariablesandProbability DistributionsConceptof a Theoutcomeof a randomexperiment neednotbe a number. However,we areusuallyinterestednotin theoutcomeitself,butratherin somemeasurement of :Considertheexperiment in which batteriescomingo anassemblylinewereexamineduntil agood one(S)was , FS,FFS,: : :g:We may be interestedin thenumber of batteriesexaminedbeforetheexperiment randomvariableis a functionthatassociatea realnumber witheach element in :Tossingtwo coinsS=fHH,TT,HT,THgLetX= # of :A groupof 4 components is knownto contain2 thetimeuntil the2 defectives of thetestonwhich theseconddefective is types of randomvariables Adiscreterandomvariableis a randomvariablewhosepossiblevalueseitherc onstitutea nitesetor elsecanbe listedin anin nitesequence.

The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) = 8 <: 1 3000e x=3000 x > 0 0 otherwise: Determine the probability that a component fails in the interval from 1000 to 2000 hours. (a) 0:2031 (b) 1 3000(e 1=3 e 2=3) (c) 0:2835

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