Determining the random variable
Let x1, x2...xn be independent and N(o,1) distributed. Let Sn= (X^2)1+...+(X^2)n. Show that sn is a random variable x^2-distributed with d.f=n ( use Moment generating function)
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Farest packing's Roe last year was only 3 percent but its management developed a new operating plan designed to improve things.the new plan calls for total debt ratio of 60 percent which will result in interest charges of $300,000 per year.
Let x be a random variable with fx(x) = (2/X^3) if x>1. Compute P(x>k) and compare it with the upper bound on this quantity given by Markov's inequality.
How much work must the motor do to stop the body when the arm is at 90 degrees to the horizontal? Assume the body does not rotate around its center of gravity.
A 4.5V battery is connected to a wire made of three segments of different metals connected one after another: 12cm of copper wire, then 12cm of iron wire, then 15cm of tungsten wire. All of the wires are 0.26mm in diameter. a) Find the potential
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Let X1,...,Xn1 be an iid sample from N(u1,o^2) and let Y1,...,Yn2 be an iid sample from N(u2,o^2), where parameters u1,u2, and o^2 are unknown. Suppose that two samples are independent. Find a 95% confidence interval for u1-2u2.
A particle with charge Q is located on the axis of a disk of radius R, at a distance' b' below the plane of the disk. What must R equal in terms of b if one-fourth of the electric flux from the charge is to pass through the disk? please show all s
How far has the mass moved when its velocity is 2.43 m/s? Friction exerts a constant moment of.32 Nm. Specs - Ring: m = 300 g, r = 7 cm Disk: m = 500 g, r = 9 cm.
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