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Computing a value of probability for independence condition., Exercises of Probability and Statistics

Universiti Putra MalaysiaProbability and Statistics

Computing a value of probability for independence condition.

Typology: Exercises

2017/2018

Uploaded on 05/25/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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Download Computing a value of probability for independence condition. and more Exercises Probability and Statistics in PDF only on Docsity!

Exercise: Let P(A) = 0.4 and P(A U B) = 0.6. For what value of P(B) are Aand B independent? Solution: Events A and B are independent if P(AN B) = P(A)P(B) P(A U B) = P(A) + P(B) — P(AN B) = P(A) + P(B) — P(A)P(B). Thus, 0.6 = P(A) + P(B)[1 — P(A)] => 0.6 = 0.44 P(B)[1 — 0.4] Oe “0.6 — 0.4 = (0.6)P(B) = P(B) = 7 =5 1 As a consequence, P(B) = = IMR.OSAMA ABDULFATTAH ALSATTARI