Question
Asked Oct 13, 2019
54 views

question (b) make it very detailed

QUESTION 1
1 +x
x
1. Find the pdf of the random vector (R,T
a) Suppose (X, Y) has the pdf f (x, y) =
Rcos (T) Y Rsin(T)
which is (X, Y) expressed in polar coordinates, that is, X =
1
Let X follow the Cauchy distribution with the pdf fx(x)
1
b)
Find the pdf of 1/X
E R.
12
help_outline

Image Transcriptionclose

QUESTION 1 1 +x x 1. Find the pdf of the random vector (R,T a) Suppose (X, Y) has the pdf f (x, y) = Rcos (T) Y Rsin(T) which is (X, Y) expressed in polar coordinates, that is, X = 1 Let X follow the Cauchy distribution with the pdf fx(x) 1 b) Find the pdf of 1/X E R. 12

fullscreen
check_circle

Expert Answer

Step 1

As per the question

Given p.d.f o...

help_outline

Image Transcriptionclose

1 f(x) where x € R, i. e. — 0o < x < о T(1+x2) We have to estimate the p.d.f of Let us suppose 1 (where X < oo, => -oo < Y Y oo _ X ( Since Y-F(X) V

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Other

Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A poll asked the question, "What do you think is the most important problem facing this country toda...

A: The percentage of responndents answered crime and violence =  25%95% confidence interval margin of e...

question_answer

Q: Two machines turn out all the products in a factory, with the first machine producing 80% of the pro...

A: It is provided that the first machine is producing 80% of the product and the second machine is prod...

question_answer

Q: Which of the following numbers can be probabilities of events? (Select all that apply.) A. (71/68), ...

A: The value of the probability of an event cannot less than 0 or greater than 1. Consider A is an even...

question_answer

Q: A new roller coaster at an amuse- 6.32 Tall enough to ride? TRY ment park requires individuals to be...

A: 6.32) a. The proportion of 10-year-old boys is tall enough to ride the coaster is 0.3707 and it is c...

question_answer

Q: The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 profe...

A: Hello there! there are more than three sub-parts in the given question. According to our policies ca...

question_answer

Q: Show that                                n                    n                     (            )  ...

A: To interpret (hence prove) the given equality of the two binomial coefficients, using set theory

question_answer

Q: 5.80 but use 5.79 as a reference

A: Consider,D be the event that shows an odd sum on rolling of two dice.B be the event that denotes a s...

question_answer

Q: Two machines turn out all the products in a factory, with the first machine producing 50% of the pro...

A: We are given:50% of products are produced by first machine and 50% of products are produced by secon...

question_answer

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a two-cou...

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’ w...