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mixas84 [53]
4 years ago
5

Suppose 1% of cotton fabric rolls and 4% of nylon fabric rolls contain flaws. Of the rolls used by a manufacturer, 70% are cotto

n and 30% are nylon. What is the probability that a randomly selected roll used by the manufacturer contains flaws?
Mathematics
1 answer:
Amanda [17]4 years ago
4 0

Answer:

0.019 or 1.9%

Step-by-step explanation:

The probability that a randomly selected roll used by the manufacturer contains flaws is determined by the probability of a flawed cotton roll occurring (1% x 70%) added to the probability of a flawed nylon roll occurring  (4% x 30%) .

P(F) = P(C)*P(F_C)+P(N)*P(F_N)\\P(F) = 0.7*0.01+0.3*0.04\\P(F) = 0.019 = 1.9\%

The probability that a randomly selected roll contains flaws is 0.019 or 1.9%

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