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mathematics
september 2019
25

Mathematics Questions and Answers September 25, 2019

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Life on Other Planets Forty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 125 randomly selected individuals and found75 believed that there is life on other planets. At= 0.05 ,is there sufficient evidence to conclude that the percentage differs from46 %

1 1. Let X1, ...,Xn be a random sample from a Gamma distribution with parameters do and 9 =; where a: is known. Suppose the prior on I is gamma with parameters an and 90, where an and 90 are both known. a) Find the posterior distribution oft given X1 = x1. ..., Xn = Kim b) For the squared error loss function, nd the Bayesian estimate of T. c) Find

Eg.2: DeterminetheareaofAQRSwithverticesQ(2,4,1),R(3 ,-3 ,5)andS(-2,0,2). The cross product can also be used in the consideration of forces that involve rotation, or turning about a point or an axis. The rotational or turning effect of a force is called . E: is the force applied to the lever (or wrench). .. is the distance from the pivot point to

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