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alexdok [17]
2 years ago
8

A manufacturing machine has a 1% defect rate. If 10 items are chosen at random, what is the probability that at least one will h

ave a defect?
Physics
1 answer:
fenix001 [56]2 years ago
7 0

Answer:

probability (at least one defect is) is 0.096517 or 9.65 %

Explanation:

Given data

defect rate = 1%

no of sample = 10

to find out

probability at least one will have a defect

solution

we know here probability of defect is

Probability (defect) = 0.01

and n is 10

so

probability (at least one defect is) = 1 - probability (none)    .............1

we know probability (none)  = 0.99^n

probability (none)  = 0.99^10

put this in equation 1

probability (at least one defect is) = 1 - 0.99^10

probability (at least one defect is) is 0.096517 or 9.65 %

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Answer:

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A linear equation is of the form y = Gx

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x = \left[\begin{array}{ccc}100\end{array}\right]

\left[\begin{array}{ccc}102*10^{-3} \\97*10^{-3}  \end{array}\right] =  \left[\begin{array}{ccc}G_{1} \\G_{2}  \end{array}\right] \left[\begin{array}{ccc}100\end{array}\right]\\\left[\begin{array}{ccc}G_{1} \\G_{2}  \end{array}\right] =  \left[\begin{array}{ccc}102*10^{-5} \\97*10^{-5}  \end{array}\right]

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