Transcribed Image Text from this QuestionProblem 2. For a E (0, 1) and a random variable X ~ F with a pdf, determine P(X

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Transcribed Image Text From This Questionproblem 2 For A E 0 1 And A Random Variable X F With A Pdf Determine P X 1 (97.07 KiB) Viewed 68 times

Transcribed Image Text from this QuestionProblem 2. For a E (0, 1) and a random variable X ~ F with a pdf, determine P(X < F-1(a/2)), P(X < F-1(1 – a/2)), P(F-1(a/2) < X <F-1(1 – a/2)). In particular, for X ~ N(0,1), calculate P(X < 20.05), P(X = 21-0.05/2), P(20.05/2 5 X 5 21–0.05/2). Problem 3. For a sample of any real observations xi, , In, verify that n n Σαι -3 -=)?=Ż- (ci – ī)2 = * – năor equivalently (ri – ī) = n Στ? - ?, i=1 n i=1 and thus 3+2(-) i=1 i=1