Question

Probability that cars have been assembled in a particular plant as follows:

P(plant1)=20% , P(plant2)=24% , P(plant3)=25% , P(plant4)=31%

Warranty claim rate of cars manufactured by plant3: 6%. If 352,500 of cars do not claim warranty in plant3;

compute total number of cars manufactuted by all plants in a year?

Answer 1

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Total number of cars manufactuted by all plants in a year ?

6% of plant 3 manufactured cars claim warranty

So, 94% of plant 3 manufactured cars do not claim warranty

These 94% of plant 3 mfd cars = 352500
So, total plant 3 mfd cars = 352500/.94 = 375,000 cars

Hence,

Total number of cars manufactuted by all plants in a year? = total plant 3 mfd cars divided proportion of cars mfd by plant 3

= 375000/.25
= 1500000

Answer: 1,500,000 cars mfd in total