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A company has two plants A and B to manufacture motorcycles. 60 % motorcycles are manufactured at plant A and the remaining are manufactured at plant B .80 % of the motorcycles manufactured at plant A are rated of the standard quality, while 90 % of the motorcycles manufactured at plant B are rated of the standard quality. A motorcycle picked up randomly from the total production is found to be of the standard qualit

Options

  1. A54
  2. B66
  3. C64
  4. D56

Correct answer

A. 54

Step-by-step solution

array |l|c|c| & A & B Manufactured & 60 % & 40 % Standard quality & 80 % & 90 % array P (Manufactured at B / found standard quality )= ? A : Found S.Q B : Manufacture B C : Manufacture A aligned & P (E₁ )= 40 100 & P (E₂ )= 60 100 & P (A / E₁ )= 90 100 & P (A / E₂ )= 80 100 & P (E₁ / A )= P (A / E₁ ) P (E₁ ) P (A / E₁ ) P (E₁ )+P (A / E₂ ) P (E₂ ) = 3 7 & 126 P=54 aligned

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