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katen-ka-za [31]
4 years ago
10

Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with p

robability 0.9, and by the second inspector with probability 0.7. Assume the inspectors function independently.
a. If an item has a flaw, what is the probability that it will be found by both inspectors?
b. If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
Mathematics
1 answer:
Tems11 [23]4 years ago
3 0

Answer:0.63

0.97

Step-by-step explanation:

Given

Probability to detect the flaw by first inspector is 0.9

Probability to detect the flaw by second inspector is 0.7

(a)Probability that both inspector find the flaw

P=0.9\times 0.7=0.63

(b)Probability of finding flaw by at least one inspector is

P=1-Probability of not detecting the flaw by both inspectors

P=1-\left ( 1-0.9\right )\left ( 1-0.7\right )

P=1-0.03=0.97

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