Theoutcomeofrollingabalanceddicehasprobability 1~6 for eachof {1, 2, 3, 4, 5, 6}. Let (y1, y2) denotetheoutcomesfortworolls. (a) Enumeratethe36possible(y1, y2)

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Theoutcomeofrollingabalanceddicehasprobability 1~6 for eachof {1, 2, 3, 4, 5, 6}. Let

(y1, y2) denotetheoutcomesfortworolls.

(a) Enumeratethe36possible(y1, y2) pairs.Treatingthemasequallylikely,constructthe sampling distributionfortheirsamplemean.

(b) Explainwhythesamplingdistributionin(a)hasrelativelymoreprobabilitynearthe middle thanattheminimumandmaximumvalues.Predicthowtheshapewouldchange with additionalrolesofthedice.

(c) Thebeginningof Section

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