Reference no: EM13966577
1. A fair die is rolled 12 times. Given that there are exactly two ones, what is the probability that there are exactly two sixes?
2. A fair die is rolled twice. Compute the probability that the sum of the two rolls is 3, 5, 7, 9, 11, respectively, given that the sum is odd.
3. A fair die was rolled four times. The faces 1 and 2 never appeared. What is the probability that the other four faces each appeared exactly once?
4. Jeff, Jen, and Cathy shoot at a bull's eye. They can hit the bull's eye 70%; 80%, and 75% of the time, respectively. One of the three is known to have hit the bull's eye. Find the probability that it was Jen.
5. A fair coin is tossed ten times. Given that at least seven heads were obtained, what is the probability that the first toss was a head? That at least one of the first two tosses was a head? That the first two tosses were both heads?
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What does the given story tell us about soninke culture
: What does this story tell us about Soninke culture? What values does it prescribe? What can we learn about how the Soninke view themselves, their history, and cultural development?
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Calculate the diffusion coefficient of water in air
: An open pan 210 mm in diameter and 75 mm deep contains water at 25?C and is exposed to dry atmospheric air. Calculate the diffusion coefficient of water in air. Take the rate of diffusion of water vapour is 8.52 x 10-4 kg/h.
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Same number of republicans
: From a town of 25 Republicans and 25 Democrats, pollsters A and B each sampled ten residents at random without replacement. Find the probability that the two polls contained exactly the same number of Republicans.
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Calculate the evaporation rate of water in grams per hour
: An open pan of 150 mm diameter and 75 mm deep contains water at 25 C and is exposed to atmospheric air at 25 C and 50% R.H. Calculate the evaporation rate of water in grams per hour.
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Compute the probability that the sum of the two rolls
: 1. A fair die is rolled 12 times. Given that there are exactly two ones, what is the probability that there are exactly two sixes? 2. A fair die is rolled twice. Compute the probability that the sum of the two rolls is 3, 5, 7, 9, 11, respectively,..
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Find the frequencies of torsional vibrations
: The moment of inertia of three rotors A,B and C are respectively 0.3, 0.6 and 0.18 kg-m2 . The distance between A and B is 1.5 m and B and C is 1 m. The shaft is 70 mm in diameter and the modulus of rigidity for the shaft material is 84 x 109 N/m..
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How would you ask the actors to manage the emotions
: How would you ask the actors to manage the emotions? Would you have them control the emotions and the controversy, or would you ask them to "let it all hang out"? Why?
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Technological and information flow across countries
: In other words, globalization represent the integration of the world economies driven primarily rapid transformation in the technological and information flow across countries. Globalization is a continuous process. For example information and tec..
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Replacement or without replacement
: 1. An urn contains four black, four white, and four blue balls. Three balls are drawn at random from the urn. Is it more likely that the balls will all be of the same color if sampling is with replacement or without replacement?
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