SOLUTION: A company that manufactures shoes has three factories. Factory 1 produces 25% of the company's shoes, Factory 2 produces 60%, and Factory 3 produces 15%. One percent of the shoes

Algebra ->  Probability-and-statistics -> SOLUTION: A company that manufactures shoes has three factories. Factory 1 produces 25% of the company's shoes, Factory 2 produces 60%, and Factory 3 produces 15%. One percent of the shoes      Log On


   

Question 1175832: A company that manufactures shoes has three factories. Factory 1 produces 25% of the
company's shoes, Factory 2 produces 60%, and Factory 3 produces 15%. One percent of the
shoes produced by Factory 1 are mislabeled, 0.5% of those produced by Factory 2 are
mislabeled, and 2% of those produced by Factory 3 are mislabeled. If you purchase one pair of
shoes manufactured by this company, what is the probability that the shoes are mislabeled?
Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
.

This probability is


    P = 0.25*0.01 + 0.60*0.005 + 0.15*0.02 = 0.0085,  or  0.85%.      ANSWER

Solved.

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The formula used is self explanatory.

If you want to learn more about the subject, listen attentively what this formula tells you . . .