A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, T/2) i.e X~ Unif(T/2). For each X, construct a triangle as pictured below. Here Y = height of the random triangle. For a fixed constant base b find (a) the density function of Y. (b) E(Υ )

A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, T/2) i.e X~ Unif(T/2). For each X, construct a triangle as pictured below. Here Y = height of the random triangle. For a fixed constant base b find (a) the density function of Y. (b) E(Υ )

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

See similar textbooks

Related questions

Q: dh and simplify it. Use this equation to explain why the drain rate h' (t) cannot be a dt (c) Solve…

Q: Question 4 too please.

Q: Your handwriting is not that clear is there any way you can type it out?

A: Given that, Records show that 30% of the avocados come from P, 55% come from Q and the rest come…

Q: Can you please answer this question

Q: I got this wrong and I would love help on why and what the correct answer is, thank you!

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.98 to the left of…

Q: what about questions 4-15?

Q: Write an expression for each shaded region 1. A B

Q: Given that AD is the perpendicular bisector of BC, AB = 7.4, AC = 7.4, and BD = 3.2, identify BC. В…

A: Given that AB=7.4 AC=7.4 BD=3.2 and BC=? Since AD is perpendicular bisector it bisects the BC at 90…

Q: Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for…

A: Given, Total number of laboratory mice = 50 Drug A is to be given to 17 mice. Drug B is to be given…

Q: Could you please explain in words what's happening in the pictures (step wise)? Thank you.

Q: Could you further explain how you got this?

A: Given data : n = 4 u = 35000 o = 5000 P(x > 40000) = ?

Q: For Calc 3 questions, should I submit them into the advanced math section or calculus? Also, what…

Q: Need answers and explanation on question 2

A: 2. To find number of moles of Pb 7.5 g 3. Ba moles = 0.36

Q: can you please answser part iv to this question

A: Statement (iv): Consider the statement A: For every point P and every point Q, not equal to P there…

Q: I did post the second part as a separate question. Can you show your work on the ones you have done

Q: part a of this question was incorrect. Can you help explain please?

A: given Cx=0.02x3-20x+450 (a) find the marginal cost when 40 units of the items are produced.…

Q: In a sample, Σ(X-2) = 16 and ΣX = 32. What is the mean? 4

Q: u came to this answer. Can you elaborate?

A: The scatterplot below shows Olympic gold medal performances in the long jump from 1900 to 1988. The…

Question

Could you write down clearlyand elaborate the process for this question?I would really appreciate about that!

[8] 1. A random right triangle can be constructed as follows. Let X be a random angle whose
distribution is uniform (0, T/2) i.e X
below. Here Y = height of the random triangle. For a fixed constant base b find
Unif(T/2). For each X, construct a triangle as pictured
(a) the density function of Y.
(b) E(Y)
ーカー

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
Help me.
b) Let Z₁-N(0,1), and W₁ = Y~N(0,1), for i=1,2,3,...,10, then: dx dy i) State, with parameter(s), the probability distribution of the statistic, T = - 154 ii) Find the mean and variance of the statistic T = ₁² 10 iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. iv) Find the value of ß such that P(T> B) = 0.01, where T = ₁2₁² +².
2) d Let the value of your When Anto of damage to your car where X is a random density function f(x) a) Find 'a' function. b) What where You have This means full amount of damages, then you pay insurance X let Y damage. damage Find the give the of car be M = £2000 an accident the is X pounds, variable with 2 (M-x)/a, 10 positive with an if X ≤ M/2 then X. you get M a insurance + company M/2 pounds covers M/2 pounds. be the So that f(x) is the probability that to your car will be Cumulative distribution of X. formula Y as 0 ≤ x ≤ M₁ x M constant. M/2 pounds excess. you pay the while if X > M/2 and the the remaining amount you pay for the amount probability a probability density the cost or less than £1000. function that expresses a
3. Let f(y, A) be the density function of a continuous random variable, Y, where A is the parameter of the distribution. (a) with reference to family of densities f(y, A) , define what a regular parametric family is. (b) Give three examples of regular parametric families.
Q4) Find the average value of the function f(x)= V4 +x, at the 2d Quadrant. .......
A random variable X undergoes the transfor- a mation Y= where 'a' is the real number. Find the density function of Y.
Suppose X - Uniform (0,1). Find the CDF and PDF of Y = InX.
Suppose that X, Y are independent standard normal RVs. Find the joint pdf of Z, W where Z = XY, W = 3X – 2Y.
A student has 3 volumes of short stories and 2 novels on a bookshelf. She selects 3 books at random to take home over vacation. A random variable X is defined to be the number of novels selected. Find the values assumed by X and its density function.
Solve the Problem with Equaion 17.38
1) Let x be a uniform random variable in the interval (0, 1). Calculate the density function of probability of the random variable y where y = − ln x.