You schedule production of communications chips. after the chips are produced, they go to the qc department, where each chip must pass a 2-hour test. over the past year, 5.0% of the chips have failed this test. you wish to choose a batch size that will yield as close as possible to 1,000 good chips, on average. what is the best batch size?

Asix-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. in the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. the experimental probability of rolling a 3 is 10 %, which is approximately % more than its theoretical probability. (round off your answers to the nearest integer.)