2. (5 points) A Microchip company found quarts in commercial quantities in two different developing countries...

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2. (5 points) A Microchip company found quarts in commercial quantities in two different developing countries (X & Y). To take advantage of the reduced cost of labor, the company has built two independent foreign pre-processing firms, one in each location to produce silicon (from quarts) for its chip Industry. However, the production of silicon is sometimes stopped due to disrupted electricity supply at these locations. In location X, there is a 12% chance that there will be no electricity supply during production hours. Similarly, there is a 21% chance of the same problem in location Y. a. (1.5 points) At a particular random time, find the probability that only one of the foreign firms is operating without electricity disruption. b. (1 point) At a randomly selected time, determine the probability that at least one of the foreign firms is operating without electricity disruption. c. (1 point) Calculate the probability that neither of the foreign firms is producing silicon because there was no electricity supply. d. (1.5 points) If at least one of the foreign firms is producing silicon at a particular time, find the probability that only location X is producing. 2. (5 points) A Microchip company found quarts in commercial quantities in two different developing countries (X & Y). To take advantage of the reduced cost of labor, the company has built two independent foreign pre-processing firms, one in each location to produce silicon (from quarts) for its chip Industry. However, the production of silicon is sometimes stopped due to disrupted electricity supply at these locations. In location X, there is a 12% chance that there will be no electricity supply during production hours. Similarly, there is a 21% chance of the same problem in location Y. a. (1.5 points) At a particular random time, find the probability that only one of the foreign firms is operating without electricity disruption. b. (1 point) At a randomly selected time, determine the probability that at least one of the foreign firms is operating without electricity disruption. c. (1 point) Calculate the probability that neither of the foreign firms is producing silicon because there was no electricity supply. d. (1.5 points) If at least one of the foreign firms is producing silicon at a particular time, find the probability that only location X is producing.