Exercise5.7 The numberofpowerfailuresinanelectricalnetworkperdayisPoissondistributed with anunknownmean . Duringthelastmonth(30days),5powerfailureshavebeenregistered. Let p be theprobabilitythattherearenopowerfailuresduringasingleday. 1. Find theMLEfor p. 2. Derivea95%confidenceintervalfor

Exercise5.7 The numberofpowerfailuresinanelectricalnetworkperdayisPoissondistributed with anunknownmean λ. Duringthelastmonth(30days),5powerfailureshavebeenregistered.

Let p be theprobabilitythattherearenopowerfailuresduringasingleday.

1. Find theMLEfor p.

2. Derivea95%confidenceintervalfor p (if youuseanykindofapproximations—explain).