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chwala
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Homework Statement
two indepedent observations ##X_1## and ##X_2## are made up of the continuous random variable having the probability density function ## f(x)= 1/k##, and ## 0≤x≤k##
find a. the cumulative distribution of ##X##
b. Find the probability distribution of M, the larger of ##X_1## and ##X_2##
c. Show that 1.5M is an unbiased estimator of## k##.
Homework Equations
The Attempt at a Solution
part (a)
given ##f(x)= 1/k, ##, then cdf, ##F(X)=∫ {1/k}dx## = ##1 ##
limits from ##0## to ##k##
##k=1##→ the cumulative distribution function , ##F(X)=x##
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