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Komok [63]
3 years ago
6

In the field of quality​ control, the science of statistics is often used to determine if a process is​ "out of​ control." Suppo

se the process​ is, indeed, out of control and 15​% of items produced are defective. ​(a) If two items arrive off the process line in​ succession, what is the probability that both are​ defective? ​(b) If three items arrive in​ succession, what is the probability that two are​ defective?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

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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6 0
3 years ago
Soni rent Anju a sum of Rs 40,000 at the rate of 2 paisa per 2 rupees per
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Answer:

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3 0
3 years ago
Round to the nearest whole.<br> 782.36
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