Question: 5. A restaurant has two freezers. The time between breakdowns for a freezer is exponentially distributed with mean 10 weeks. When a freezer breaks down,

5. A restaurant has two freezers. The time

5. A restaurant has two freezers. The time between breakdowns for a freezer is exponentially distributed with mean 10 weeks. When a freezer breaks down, the time it takes for it to be put back into working condition is exponentially distributed with mean 1 week. (a) [10 points] Draw a three-state birth-death model of this situation. Be sure to define clearly what your states are and include the appropriate birth and death rates. (b) [9 points] What fraction of the time is at least one freezer working? 5. A restaurant has two freezers. The time between breakdowns for a freezer is exponentially distributed with mean 10 weeks. When a freezer breaks down, the time it takes for it to be put back into working condition is exponentially distributed with mean 1 week. (a) [10 points] Draw a three-state birth-death model of this situation. Be sure to define clearly what your states are and include the appropriate birth and death rates. (b) [9 points] What fraction of the time is at least one freezer working

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