Bean seeds from supplier A have an 85% germination rate and thosefrom supplier B

Question

Bean seeds from supplier A have an 85% germination rate and thosefrom supplier B have a 75% germination rate. A seed packagingcompany purchases 40% of their bean seeds from supplier A and 60%from supplier B and mixes these seeds together. a) Find the probability P(G) that a seed selected at randomfrom the mixed seeds will germinate. b) Given that a seed germinates, find the probability that theseed was purchased from supplier A.
Please show all work-thanks a) Find the probability P(G) that a seed selected at randomfrom the mixed seeds will germinate. b) Given that a seed germinates, find the probability that theseed was purchased from supplier A.
Please show all work-thanks

Explanation / Answer

(a) P(G)=0.85*0.4+0.75*0.6=0.79 (b) P(A|G)= P(A and G)/ P(G)= (0.85*0.4)/0.79 =0.43

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