Let X.,X, be a random sample of size n from an infinite population and assume X, - a + bU² with the constants a > 0 and b > 0 unknown and U a standard uniform distributed random variable given by 0 ifr<0 Fy(r) := P(U < æ) = { a if 01 Compute the cdf of the random variable X1.

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Let X1.., X, be a random sample of size n from an infinite population and assume X1 4
a + bU? with the constants a > 0 and b > 0 unknown and U a standard uniform distributed
random variable given by
0 if r<0
Fy(x) := P(U < x) =
x if 0<x < 1
1 ifr>1
Compute the cdf of the random variable X1.
Transcribed Image Text:Let X1.., X, be a random sample of size n from an infinite population and assume X1 4 a + bU? with the constants a > 0 and b > 0 unknown and U a standard uniform distributed random variable given by 0 if r<0 Fy(x) := P(U < x) = x if 0<x < 1 1 ifr>1 Compute the cdf of the random variable X1.
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