MATH 314 Quiz 11

Please submit a Jupyter notebook to the following repository by today at 4.00pm with your solution(s) to problem 1. below.

1. Suppose an electronics manufacturing company produces microchips that are used in various electrical devices. Based on quality control tests, it's found that 95% of the microchips are free from defects, meaning they operate as expected. An electrical engineer randomly selects 10 microchips from the production line to use in a prototype device.
1. Simulate $1000$ random variables from the distribution above.
2. Using only your simulated data, what is the probability that all 10 microchips selected are free from defects?
3. Using only your simulated data, what is the probability that at most 8 out of the 10 microchips selected are free from defects?
4. Using only your simulated data, what is a good guess for the expected probability that a microchip is randomly selected and is found to be free from defects?