Problem 15E

Two different factories both produce a certain automobile part. The probability that a component from the first factory is defective is 2%, and the probability that a component from the second factory is defective is 5%. In a supply of 180 of the parts, 100 were obtained from the first factory and 80 from the second factory.

a. What is the probability that a part chosen at random from the 180 is from the first factory?

b. What is the probability that a part chosen at random from the 180 is from the second factory?

c. What is the probability that a part chosen at random from the 180 is defective?

d. If the chosen part is defective, what is the probability that it came from the first factory?

AMS 206 Lecture 3 Classical and Frequentist Probability - Statistics is of course, the study of uncertainty. How we measure uncertainty, how we make decisions in the presence of it, and how we deal with uncertainty. - One more quantified way to deal with uncertainty is to consider probabilities. - One example of probability is rolling a fair six sided die and asking what the probability is that the die will show a four. o Other questions we could ask regarding the die are is the dice a fair die We could consider if it makes sense to ask what the probability is that the die is fair. - Another question we could ask is what is the probability that it rains tomorrow - When dealing with the internet, we can ask what