Question

Find the probability. A calculator requires a keystroke assembly and a logic circuit. Assume that 75% of the keystroke assemblies and 94% of the logic circuits are satisfactory. Find the probability that a finished calculator will be satisfactory.

Answer 1

Answer:

0.705 = 70.5% probability that a finished calculator will be satisfactory.

Step-by-step explanation:

Probability of independent events:

If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:

$P(A \cap B) = P(A)P(B)$

In this question:

Event A: Keystroke assembly are satisfactory.

Event B: Logic circuits are satisfactory.

75% of the keystroke assemblies and 94% of the logic circuits are satisfactory.

This means that $P(A) = 0.75, P(B) = 0.94$

Find the probability that a finished calculator will be satisfactory.

Both satisfactory, and since they are independent:

$P(A \cap B) = P(A)P(B) = 0.75*0.94 = 0.705$

0.705 = 70.5% probability that a finished calculator will be satisfactory.