Question: The following probability exercises relate to circuit components being tested on a production line to see if they are within tolerance specifications. 50% of the

The following probability exercises relate to circuit components being tested on a production line to see if they are within tolerance specifications. 50% of the components produced are resistors that have a 94% chance of being within tolerance specifications, 20% of the components are inductors that have a 96% chance of being made to specification, and the remaining components are capacitors that have a 98% chance of being manufactured. made to specification. Please answer the following questions:
1. What is the probability that the first three circuit elements on the production line are resistors?
2. What is the probability that the first three circuit elements on the production line are all of the same element type?
3. What is the probability that random circuit elements on the production line will be within tolerance specifications?
4. If a circuit element is found to be out of tolerance specifications, what is the probability that the element is a resistor?
5. On average, how many circuit elements would go down the production line until 10 elements were found to be out of tolerance specifications?

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