For the first 100 cars made 40 are defective Based on the fi

For the first 100 cars made 40 are defective. Based on the first 100 cars produced, about how many out of every 1000 assembled should have one or more defects?
For the first 100 cars made 40 are defective. Based on the first 100 cars produced, about how many out of every 1000 assembled should have one or more defects?

Solution

p = prob for a defective car = 0.4 (given)

The no of cars which are defective X follows a Binomial distributon with n =1000, p =0.4

Prob (X>=1) = 1-P(X=0) = 1- negligible = 1

i.e.no of defective cars = 1000

For the first 100 cars made 40 are defective. Based on the first 100 cars produced, about how many out of every 1000 assembled should have one or more defects?

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