Statıstıcs I Deneme Sınavı Sorusu #836443
Suppose that random variable X has exponential distribution with ?=a. Find the probability of P (X ? b) ?
|
e-a/b |
|
e-b/a |
|
-e-b/a |
|
e-ab |
|
-e-ab |
Yanıt Açıklaması:
f (x) = ? e–?x = a e–ax , x ? 0 ; P( X >= x) = Int(b, sonsuz)(a * e-at dt) = girdi(b, sonsuz)(-e-ax) = 0 - (-e-ab) = e-ab . pg. 213. Correct answer is D.
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