Respuesta :
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:
Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
learn more about probability here: https://brainly.com/question/16404410
