A calculator requires a keystroke assembly and a logic circuit.Assume that 91% of the keystroke assemblies and 93% of the logic circuits are satisfactory.Find the probability that a finished calculator will be satisfactory.
Assume that defects in keystroke assemblies are independent of defects in logic circuits.
A).8649
B).9200
C).8463
D).8281

Question

Quizplus · Accepted Answer

We can use the formula P(A and B) = P(A) x P(B), since the defects in keystroke assemblies and logic circuits are independent. Therefore, the probability of a finished calculator being satisfactory is:

P(satisfactory) = P(keystroke assembly satisfactory) x P(logic circuit satisfactory)
P(satisfactory) = 0.91 x 0.93
P(satisfactory) = 0.8463

Therefore, the answer is choice C.

A Calculator Requires a Keystroke Assembly and a Logic Circuit