Question

Refer to Question 6. Calculate the probability that the defective tube was produced on machine E₁.

Answer 1

Now, we have to find `"P"("A"_1/"D")`

`"P"("A"_1/"D") = ("P"("A"_1 ∩ "D"))/("P"("D"))`

= `("P"("A"_1)"P"("D"/"A"_1))/("P"("D"))`

= `(1/2 xx 1/25)/(17/400)`

= `8/17`.