A machine is made of two parts, gizmos and widgets. the probability that a gizmo is defective is 0.20, and the probability that a widget is defective is. 25. if a machine is assembled with one gizmo and one widget, what is the probability that the machine will not have any defective parts?

Question

Jeramiah Bradley

Mathematics

23 September, 11:31

A machine is made of two parts, gizmos and widgets. the probability that a gizmo is defective is 0.20, and the probability that a widget is defective is. 25. if a machine is assembled with one gizmo and one widget, what is the probability that the machine will not have any defective parts?

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Answers (1)

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Carly · Answer 1

Given that the probability that:

Gizmo is defective is 0.20

widget is defective is 0.25

The probability that:

Gizmo is not defective is 1-0.2=0.8

Widget is not defective is 1-0.25=0.75

If the machine is assembled with only one gizmo and one widget, the probability that the will not have any defective part is:

P (Widget is not defective) * P (Gizmo is not defective)

=0.8*0.75

=0.6