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?
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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.
(a) Probability that a bike ...
Probability is inspected.