Please explain your reasoning to solve this problem. Provide as much details as

Question

Please explain your reasoning to solve this problem. Provide as much details as possible. Thanks a lot =)!

Problem A manufactwe bugs comonents in eual amdunts from thre dfferent supplies. The prbablty at compoments fRom Suglier A are bod is 0.1, that components rom sugplier B are bad is 0.15, and hat oomponent from sugolier C are bad 0.05 (a) The probability ata comgonent selected at randam wil be bad )a cogonen dt bebadh what is the grobability that componen+ selec at ran0m will be bad, what is he probabi a COmponent1 it came from supplier b?

Explanation / Answer

a)P(bad component)=P(supplier A and bad component+supplier B and bad component+supplier C and bad component) =(1/3)*0.1+(1/3)*0.15+(1/3)*0.05=0.1

b) probability of receiving from supplier B given bad component

=P(supplier B and bad component)/P(bad component) =(1/3)*0.15/0.1 =0.5

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