Question

Explain why the probability mass function P(X = 1000) = 0.1, P(X = 1500) = 0.2, P(X = 2000) = 0.3, P(X = 2500) = 0.3, P(X = 3000) = 0.1 is not practical as a distribution for the number of phone calls to a help-desk call center during a day

Answer 1

as number of phone calls to a help-desk call center during a day can take any values from set {0,1,2,3,4......}

therfore its pmf should be defined for all these values while above pmf has been distributed for only 1000,1500,2000,2500 and 3000 number of calls ; which means there will only this number of calls will arrive and nothing else which can not be possible