Posted by **Amelie** on Sunday, February 17, 2008 at 3:25pm.

Widgets are produced at a certain factory by each of three machines A, B and C. These machines produce 1000, 600 and 400 widgets per day, respectively. The probability that a given widget is defective is 4% for one produced by Machine A, 3% if produced by Machine B, and 2% if produced by Machine C. Suppose that the Widget Inspector selects a widget at random from the factory's widget inventory.

(a) What is the probability that the widget is defective?

(b) If the widget is defective, what is the chance that it came from Machine A?

========================================

Answer a) is it 4+ 3+2 =9%

b) A=widget is defective

B=came from machine A

P(A& B)= P(A)P(B)

= .09* (1000/2000)= .045

= 4.5 %

## Answer this Question

## Related Questions

Intro to Probability, check some of my work please - 1.) An octave contains ...

Probability - 1.) An octave contains twelve different musical notes (in Western ...

bus stats - A manufacturing company has 5 identical machines that produce nails...

statistics - The probability any one widget is free of defects is 0.93. For ...

Probability/Statistics - Please help!!! Smith Widget Company makes widgets for ...

Econ - The demand for widgets (QX) is given by the following equation: QX = 425-...

science - Two machines A and B produce respectively 60% and 40% of the total ...

statistics - Three percent of the widgets produced by machine 1121 are defective...

Math - A factory has 3 machines that produce the same item. Machines 1 and 2 ...

econmics - Suppose the price of widgets rises from $7 to $9 and consumption of ...