A machine is used in a production process. From past data, it is ...

[yoooooman]

A machine is used in a production process. From past data, it is known that 97 of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95 acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40 acceptable items.
 a. An item from the production line is selected. What is the probability that the selected item is non-defective?
  b. Given that the selected item is non-defective, what is the probability that the machine is set up correctly?

Question 2

Because most nonlinear optimization codes will terminate with a local optimum, the solution returned by the codes will be the best solution.
 a. True
  b. False
  Indicate whether the statement is true or false

[katkat_flores]

Answer to Question 1

a. 0.9335
b. 0.9871

Answer to Question 2

FALSE

[yoooooman]

TYSM

[aliotak]

Thanks for the timely response, appreciate it