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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Sara and Gerry took a math exam. Sara's percentile score on the exam was 40; Gerry's percentile score on the same test was 80. We know that
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.
For data set A, the mean is $1235, with a standard deviation of $140. For data set B, the mean is 15.7 inches, wit ha standard deviation of 1.87 inches. Which of these two data sets has the greater relative dispersion?
Were interested in determing the amound of citric acid in a sample of 7-up. Will our results be different if we use a sample that has been open for an hour instead of a freshly opened bottle? Why?
Is it bromocyclohexane? One of the requirements for reactivity inSn1 reactions is a stable carbocation. Does cyclohexane holda positive charge better than cyclopentane?
What fraction of the power radiated by the sun is intercepted by the planet Mercury? The radius of Mercury is 2.44 x 106 m, and its distance from the sun at the moment is 5.83 x 1010 m. Assume that the sun radiates uniformly in all directions.
A car assembly plant uses axles from two suppliers, A and B. The axles manufactured by A and B fail within 10 years with probabilities 0.2 and 0.1, respectively. The assembly plant uses 50% of axles from each of the suppliers. Find the probability
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