Show that the distribution of y is a cauchy distribution

Reference no: EM131830346

Suppose that a particle is released at the origin of the xy-plane and travels into the half-plane where x > O. Suppose that the particle travels in a straight line and that the angle between the positive half of the x-axis and this line is ex, which can be either positive or negative. Suppose, finally. that the angle ex has a uniform distribution on the interval (-Π/2Π/2). Let Y be the ordinate of the point at which the particle hits the vertical Hne x = 1. Show that the distribution of Y is a Cauchy distribution.

Reference no: EM131830346

Questions Cloud

Is the minimum wage an improper poverty wage : Is the minimum wage an improper poverty wage? Is the minimum wage fundamentally exploitative?

Write a memorandum comparing the tax consequences : Write a memorandum comparing the tax consequences of the two options to teh three sisters, who actively manage Theta

Find the expected value of the length of the longer piece : Suppose that a point is chosen at random on a slick of unit length and that the stick is broken into two pieces at that point

What are the characteristics of the adt queue : What are the characteristics of the ADT queue? Which of the following is true of stacks and queues? A stack is a last-in, first-out structure.

Show that the distribution of y is a cauchy distribution : Suppose, finally. that the angle ex has a uniform distribution on the interval (-?/2?/2). Let Y be the ordinate of the point at which the particle hits

Discuss about the cosmetic pharmacology : Is "cosmetic pharmacology" ethical? Does the fact that it is only available to some individuals make it any more or less ethical? Could cosmetic pharmacology.

Write the iterative version of the algorithm : A binary search is a natural recursive algorithm. It can also be written as an iterative algorithm. Write the iterative version of the algorithm.

Compute the variable overhead rate and efficiency variances : Becton Labs, Inc., produces various chemical compounds for industrial use. Compute the variable overhead rate and efficiency variances

What three properties characterize lists : What does it mean to say that the Delete operation is ambiguous? What three properties characterize lists? How were we able to make the list generic?

User Account

All Pages