# Entrance exams

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Suppose X1,X2,….,Xn is a random sample from an exponential distribution with mean λ.If λ1 and λ2 are respectively the maximum likelihood estimators of the mean and the median of the underlying distribution ,then-

a)λ1<λ2

b) λ1=λ2

c) λ1<λ2 and λ1>λ2 both possible

d) λ1>λ2