Let T be a right triangle with vertices at (0,0), (0,4), and (4 4). We pick a random point in T and let X be its y-component. (a) Show that the cumulative distribution function for X is F(x) = , for 0 < x< 4. (b) Compute the probability density function for X. (c) What is the probability that X is between 1 and 2?

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Q: 10. Consider an e-mail message being transmitted across a single network link. The e-mail is broken…

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Q: Example 34. Find the mode for the following data: Marks : 1- 5 6 - 10 11 – 15 16 – 20 21 - 25 No. of…

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Q: Example – 5: Consider an item with reliability function R(t) = (0.2 t+1)2 , t > 0, where the time t…

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Q: You can tell if a distribution is normal because it is Approximately bell-shaped and symmetrical…

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Q: Q. 28 In what respects the whole sale price index differs from the general price index ?

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Q: Example 35. Calculate Median and Mode for the following distribution: Production per day (in Tons):…

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Q: Example 22. Draw the histogram for the following data : Marks 0 - 10 10 - 20 20 – 30 30 – 40 40 – 50…

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Q: The sisal composite tensile strength is normally distributed with a mean and standard deviation of…

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Q: The admission committee of AUCA enrolls 76% of those who took the exam. If the scores follow a…

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Q: Example 2. In a class of 50 students, 40 speak Hindi, 20 speak both English and Hindi and all the…

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Q: . Suppose your waiting time for the campus shuttle in the morning is uniformly distributed on [0,…

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Q: What is the variance of X

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Q: A die is rolled once. What is the probability of obtaining a 4? *   3/6 1/5 1/6 2/5

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Q: Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly…

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Q: Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than…

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