duces 25% of the daily output, while machine put, 8% and 4% of their output are defective A box of 30 screws is chosen at random from defective. What is the probability that this bo A screw is chosen at random from a day's p bability that it came from machine A? What is the probability of defective product

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Chapter1: Combinatorial Analysis
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In a screw factor, there are two machines. Machine A and B that produce screws. Machine A
produces 25% of the daily output, while machine B produces 75% of the daily output. Of their
output, 8% and 4% of their output are defective, respectively.
A box of 30 screws is chosen at random from a day's production and found one of them to
а.
be defective. What is the probability that this box came from machine A?
b.
A screw is chosen at random from a day's production and found to be defective. What is the
probability that it came from machine A?
C.
What is the probability of defective product of this factory?
th
Quality assurance employee start testing a group of screws, what is the probability that the 4
screw will be defective?
Transcribed Image Text:In a screw factor, there are two machines. Machine A and B that produce screws. Machine A produces 25% of the daily output, while machine B produces 75% of the daily output. Of their output, 8% and 4% of their output are defective, respectively. A box of 30 screws is chosen at random from a day's production and found one of them to а. be defective. What is the probability that this box came from machine A? b. A screw is chosen at random from a day's production and found to be defective. What is the probability that it came from machine A? C. What is the probability of defective product of this factory? th Quality assurance employee start testing a group of screws, what is the probability that the 4 screw will be defective?
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