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Sergeu [11.5K]
3 years ago
14

1 pts

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0
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In the field of quality​ control, the science of statistics is often used to determine if a process is​ "out of​ control." Suppo
Usimov [2.4K]

Answer:

a) P=0.0225

b) P=0.057375

Step-by-step explanation:

From exercise we have that  15​% of items produced are defective, we conclude that  probabiity:

P=15/100

P=0.15

a)  We calculate the probabiity  that two items are​ defective:

P= 0.15 · 0.15

P=0.0225

b)  We calculate the probabiity  that  two  of  three items are​ defective:

P={3}_C_{2} · 0.85 · 0.15 · 0.15

P=\frac{3!}{2!(3-2)!} · 0.019125

P=3 · 0.019125

P=0.057375

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