1. Suppose you went to Galápagos Islands to perforn a research on bird beaks. Wh
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1. Suppose you went to Galápagos Islands to perforn a research on bird beaks. What you found were three distinct birds based on their beaks: Geospiza Magnirostris. Geospiza Fortis, and Geospiza Parvula. In this problen. we call thos GM. GF. and GP or the sinuplicity. Supposc the followings are about the presenee of tlhuose c birds in a specific place in the island: PGF 0.4 P[GP 0.6 / PiGM 0.2 PlGPlGf]-0.8 / PGP?GM] 0.65 PlGM n GF] = 0.06 / PGM n GF n GP-0.01 Please answer the following questions. onts PGUGH b) (5 pints) Find PGFUGP (c) (5 ppints) Find PGM n (GPUGF). (Hi): Drawing a Venn-Diagram would be helpful.)Explanation / Answer
a)
P(GM U GF)=P(GM)+P(GF)-P(GM n GF)=0.2+0.4-0.06=0.54
b)
P(GF U GP)=P(GF)+P(GP)-P(GF)*P(GP|GF)=0.6+0.4-0.4*0.8=0.68
c)
P(GM n (GP U GF)c) =P(GM)-P(GM n GP)-P(GM n GF)+P(GM n GP n GF)=0.2-0.2*0.65-0.06+0.01=0.02
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