A bicycle plant runs two assembly lines, A and B. 96.3% of line A's products pass instruction, while only 92.1% of line B's products pass inspection, and 70% of the factory's bikes come off assembly line A.
a) What is the probability that a randomly selected bike passed inspection?
b) What is the probability that a randomly selected bike that did not pass inspection came from assembly line B?
Solution Preview
Please find the answer in the attached file. Thank you for using Brainmass!
Let's use variable x and y to denote the number of bikes produce by A and B respectively.
Total number of bikes produced in the plant = x + y
70 % of which comes from A: (x+y) 0.70 = x
0.3 x = 0.7 y
3x = 7y
y= 3x/7 I will use this in the calculation that follows to replace y.
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