Sum of the dice
A pair of fair dice is rolled. Let E denote the event that the sum of the dice is equal to 7.
(a) Show that E is independent of the event that the first die lands on 4.
(b) Show that E is independent of the event that the second die lands on 3.
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The compression ratio is 20 and cutoff ratio is 1.8. If the air is treated as ideal gas and it has a constant specific heat ratio of 1.4, determine the maximum temperature.
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