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A manufacturer buys 30% of a certain part from one supplier and 70% from a second supplier. If 2% of the parts from the first supplier are defective, and 3% of the parts from the second supplier are defective, what is the probability that a part is defective?(a)  0.025(b)  0.020(c)  0.017(d)  0.027(e)  0.037

Question
  1. A manufacturer buys 30% of a certain part from one supplier and 70% from a second supplier. If 2% of the parts from the first supplier are defective, and 3% of the parts from the second supplier are defective, what is the probability that a part is defective?

    1. (a)  0.025

    2. (b)  0.020

    3. (c)  0.017

    4. (d)  0.027

    5. (e)  0.037

check_circleAnswer
Step 1

Introduction:

Let A be the event that a randomly selected part is from the first supplier; so, AC denotes the event that a randomly selected part is from the second supplier.

Given that, P (A) = 0.30 = 30%; P (AC) = 0.70 ...

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