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## Suppose that in the production of 60-ohm radio resistors, nondefective items are those that have a resistance between 58 and 62 ohms and the

Question

Suppose that in the production of 60-ohm radio resistors, nondefective items are those that have a resistance between 58 and 62 ohms and the probability of a resistor’s being defective is The resistors are sold in lots of 200, with the guarantee that all resistors are nondefective. What is the probability that a given lot will violate this guarantee? (Use the Poisson distribution.)

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Mathematics
6 months
2021-07-24T18:53:12+00:00
2021-07-24T18:53:12+00:00 1 Answers
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## Answers ( )

Answer:The probability that a given lot will violate this guarantee is , in which x is the probability of a resistor being defective.

Step-by-step explanation:In a

Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given interval.

The probability of a resistor’s being defective is x:This means that , in which n is the number of resistors.

The resistors are sold in lots of 200This means that , so

What is the probability that a given lot will violate this guarantee?This is:

In which

So

The probability that a given lot will violate this guarantee is , in which x is the probability of a resistor being defective.