3) Given the joint distribution f(x1, x2) = a x,x2 for 0 < x, < 1, 0 < x, < 1, and 0 elsewhere , find a possible value for a first. Then determine one number b randomly in any meaningful way you like. (b # 0) and calculate i)P(bX, + bX2 < 1) ii )E(X, | X, = 1) - (E(X¡ | X, = 0.5)) Make sure to write down all the details that you actually went through while solving this exercise in a very clear manner.

3) Given the joint distribution f(x1, x2) = a x,x2 for 0 < x, < 1, 0 < x, < 1, and 0 elsewhere , find a possible value for a first. Then determine one number b randomly in any meaningful way you like. (b # 0) and calculate i)P(bX, + bX2 < 1) ii )E(X, | X, = 1) - (E(X¡ | X, = 0.5)) Make sure to write down all the details that you actually went through while solving this exercise in a very clear manner.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Let X and Y be independent v.a with uniform distribution on the interval (0, 20) and (0, 30)…

Q: For a variable x that is normally distributed with ?=200, ?2=64. Find (i) P(x>210) (ii)…

A: Given:

Q: Property 4. If the distribution function of a r.v. X is symmetrical about zero, i.e., if 1– F(x) =…

Q: Let X1,.X, be a random sample from a uniform (0,0) distribution and let Y = max(X1,..., the coverage…

A: We have a sample X1, X2,....,Xn from uniform distribution. We know that, Y = max(X1, X2,....,Xn) =…

Q: 142 = 2a Show that for the symmetrical distribution: f(x) = π a² (4-π) T and H4 = 94 (1- 8 3π 10 1…

Q: f(x) = c/x with x = 1,2,3. Given the Geometric Distribution find M(t).

A: Given, fx=cx,x=1,2,3 Consider, ∑fx=1 ∑cx=1c1+c2+c3=1 c(1.8333)=1…

Q: The distribution function ‘F’ is given by F(x) = 0, x < 0 ½, 0 ≤ x <1 3/5, 1 ≤ x < 2 4/5, 2 ≤ x < 3…

Q: 4- Suppose that y is N3(4, 41) and let -2 -4 -1 3 -2 -3 A = 4. %3D %3D 1 y Ay, What is the…

A: Given that y~N3μ, 4𝕀 μ=123 and A=2-2-4-1341-2-3

Q: 1. a. Plot the following data: 3. 6. 9. 12 15 18 -0.8 6.3 13.1 19.6 27.0 33.5 40.8

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Assume, in producing one unit of a good X, an agent can exert either the good effort (G) or the bad…

A: Good effort denoted as G,Bad effort denoted as L,Utility effort function denoted'e',Wage denoted…

Q: Let X has uniform distribution on [-1,1]. Find E(X|X²).

A: Given: X has uniform distribution on [-1,1]. Then the pdf is: f (x)=12for -1<X<10Otherwise

Q: Let X1 and X, be independently and uniformly distributed over the interval (0, a). Find the p.d.f.…

Q: Let X1, X2,...X100 be the annual average temperature in Paris in the years 2001, 2002, ..., 2100,…

A: Approach to solving the question:1. Expected Number of Years that are Record High or Record LowGiven…

Q: If X is a Poisson variate with mean , show that =1\| = ? 2 Е(x)- ЛЕ(x +1). If л%3D1 show that E\x -…

A: Poisson distribution:

Q: Establish a formula similar to (3.3.18. for the distribution. If X~ gamma (x,B) gamma then for any…

A: X is a Gamma random variable,γ(α,β) with PDF given as:

Q: Set n > 2. Let X1, X2, ..., Xn denote a random sample from a uniform distribution on (0, 1) i.e.…

A: Given that, Xi ~U(0, 1) i= 1,2,3......n We have to find E(R) where R=Y(n) - Y(1)

Q: d) The standard deviation, Std (X), for the number of occupants is [Select] (For this question use…

Q: 3. Let X be a random variable with distribution function P(X ≤x} = { 0 x 1 if x ≤ 0, if 0 1. Let F…

Q: 2. Two independent variables X and Y have a distribution function F(x)=x and F(y)=y respectively, if…

Q: Three balls are numbered 1, 2, 3 and placed in a bag. Consider the following experiment: two balls…

A: There are 3 balls numbered 1, 2, 3 Two balls are selected from the bag without replacement. Let X1 =…

Q: "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a…

A: d)

Q: Consider an i.i.d sample of random variable with pdf f(x) =1 0<x<0 + 1 then the method of moments…

A: In method of moment estimation we equate population moment with sample moment. Now, first order…

Q: 2) Let X₁, X₂, X3, X4 be a random sample of size 4 from a population with the following distribution…

Q: Let X and Y be independent and distributed as N(u, 1). Is T = X-Y sufficient?

A: According to factorization theorem, If the likelihood function L(x,θ) can be expressed in the form…

Q: Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)

A: Obtain the mean and standard deviation for the uniform continuous model U(1,13). Obtain the mean of…

Q: Let x1, X . ,~ Bin( n,p) and p = . Find 1) A constant c such that E[c p ( 1 – p) ]= p(1- p). 2) Find…

Q: Let X has Poisson distribution with parameter A such that P(X=2) =9P(X=4) +90P(X=6). Find the value…

A: Solution : Given that, Let , X has poisson distribution with parameter λ such that…

Q: Example 4.2. Suppose the joint distribution of X and Y is given by 1 P(X = x, Y = y) 42 (z + y°)…

A: Solution

Q: Let P(x) denote the probability of the occurrence of event x. Plot all those points (x, y) = (P(A),…

Q: A statistic is denoted by T(X1,.., X„) or simply T(X) 14.- Let X1, X2 be a random sample from the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let X1, X2, ..., Xn be a random sample having the common pdf f(xr, 0) = exp[-(x – 0)] for r2 0. (i)…

Q: Let Y₁ 1 X=(x,-X₂), where X, and X₂ are independent random variables and each of them is distributed…

A: Given that the independent random variables X1 and X2 follows χ22 distribution.

Q: et X1,..., Xn be a random sample from a uniform distribution on the interval [20,0], where 0. et…

A: Solution

Q: Suppose X has a uniform distribution on the interval [−2, 3]. Find the moment generating function of…

A: X has a uniform distribution X~U[-2,3]

Q: e - Let f(x,0) = 0x°-1 0<x<1 then the sufficient statistics for 6 is Select one: а. In(8) b. In(Пx)…

Q: Let X(1) 0. a) Show that X4) and X(6) – X() are independent for any s>r. b) Find the distribution of…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

3)
Given the joint distribution
f (x1, x2) = a x,X2 for 0 < x, < 1, 0 < x2 < 1, and 0 elsewhere , find a possible value for a first.
Then determine one number b randomly in any meaningful way you like. (b + 0) and calculate
i)P(bX, +bX, < 1)
ii )E(X, | X, = 1) - (E(X¡ | X, = 0.5)
%D
Make sure to write down all the details that you actually went through while solving this
exercise in a very clear manner.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

7 The function f(t) -7t/3 3 models a continuous probability for 0
I1. The probability distribution function, P(X-x) of a discrete random variable X is defined as for =0 P(X -x) 4. for x=1 for =2 a) Find the cumulative distribution of X, Fx) b). Find i) P(X-1) ii) P(0
Let x1 ~ N(0,1), X2 ~N(-1,4) and X3~N(1,9) be independent. Derive the distribution of Y=x1-x2-2x3 and compute P(-3<y<1)
Let f(x,0) = ex-1 0
(48) Let X = b(16,–) find E(4 – 3x) and distribution function. 4 ---- --- -----
4
Let X1,..., Xn be a random sample from a uniform distribution on the interval [20, 0], where 0 0. Let X(1) < X(2) <...< X(n) be the order statistics of X1, ..., Xn.
2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the interval [-3,7]. Suppose also, that each share of the stock costs $1.50. Let Y be the net return (total return minus cost) on an investment of 10 shares of the stocks. Compute E(Y).
Q1 Let X1, .. X, f(r;0) = (;)*"(1 – 0)-,1 = 0, 1,2. %3D (i) Find the score and information functions of 0. (i) Show that X is an efficient estimator 0. إضافة ملف
Theorem 11. Let X be a random variable and let g(x) be a non-negative function. Then for r > 0, Eg (X) P[g(X) > r] < Proof.
6) Probability function of X given as follow; f(x)= 1-(x/2); 0 < x< 2 a. Please draw the graph of the probability function? b. What is the probability of 0 < x < 0,5? c. What is the probability of 0 < x < 2?