Homework Answers
![oluton3- 1,2,3, +, 5,6 3 , î → So out comes Csample space) So· X Πι to £0,1] makes mapping CMappin dedini tion) 2](http://img.homeworklib.com/questions/9a29fa70-470f-11ea-b63e-75eab9b9471c.png?x-oss-process=image/resize,w_560)
Hence it an be proved , no
statistical test can differentiate both distributions...
Add Answer to:
Problem 1.12. Let S21-{1, 2, 3, 4, 5, 6} and Op-{H. Т). Let X : 210,1...
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with...
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...
Let h : X −→ Y be defined by h(x) := f(x) if...
Let h : X −→ Y be defined by
h(x) :=
f(x) if x ∈ F
g
−1
(x) if x ∈ X − F
Now we must prove that h is injective and bijective. Starting
with injectivity, let x1, x2 ∈
X such that h(x1) = h(x2). Assume x1 ∈ F and x2 ∈ X −F. Then h(x1)
= f(x1) ∈ f(F)
and h(x2) = g
−1
(x2) ∈ g
−1
(X − F) = Y...
let the X be the sum of these two balls. construct the probablility distribution of X....
let
the X be the sum of these two balls. construct the probablility
distribution of X. (some answrs have 4 decimals, put 0 before the
decimal as in 0.325)
Two five sided dies with numbers 1, 2, 3, 4 and 5 are rolled. There are 25 outcome such as 1,2; 2,3 etc. Let X be the sum o balls. Construct the probability distribution of X. P(x) т 2 3 4 5 6 7 8 9 10 Total 1 Find the...
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing...
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing a fair dice. We place two equal weights on the sides 5 and 6 and for our probability law we have the relation P5 or 6)-3P 1 or x-2 or x 3 or x-4) Compute P(z-j) for j є { 1, 2, 3, 4, 5, 6, }
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X =...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
Problem 4 (25 points) Imagine that you flip a coin twice and let X be the...
Problem 4 (25 points) Imagine that you flip a coin twice and let X be the number of heads. Then, P (X-O- PITT))= 0.25 (Note: H = head, T= tail); P(X = 1) = P({H,T; T,H)) = 0.5; and the P(X = 2)-P ((H,H)) 0.25. The random variable X and its distribution can be summarized in the following tables: 1. Outcome P((Outcome) x(Outcome | P(X=x) x 0.25 0.25 0.25 0.25 T,T T,H 0.25 0.5 2 0.25 3 0.125 H,H Generalize...
10 marks Let X~ Poisson(A), which has density 5 marks Find the relative errors when P(O Y 3 2) is approximated by using the standard normal distribution, for λ = 1, 102, 104, 106, respectively (For...
10 marks Let X~ Poisson(A), which has density 5 marks Find the relative errors when P(O Y 3 2) is approximated by using the standard normal distribution, for λ = 1, 102, 104, 106, respectively (For u 0, the relative error is defined as E-11-aa statistical software to find probability values.) Vapprox/v. You may use R or any
10 marks Let X~ Poisson(A), which has density
5 marks Find the relative errors when P(O Y 3 2) is approximated by...
1. Given the discrete probability distribution for x = 1, 2, 3, 4, or 5. X...
1. Given the discrete probability distribution for x = 1, 2, 3, 4, or 5. X P(x) 1 5/15 N 4/15 3 3/15 4 2/15 5 1/15 Find the standard deviation of a discrete probability distribution.
1. (6 pts) Consider a non-negative, discrete random variable X with codomain {0, 1, 2, 3,...
1. (6 pts) Consider a non-negative, discrete random variable X with codomain {0, 1, 2, 3, 4, 5, 6} and the following incomplete cumulative distribution function (c.d.f.): 0 0.1 1 0.2 2 ? 3 0.2 4 0.5 5 0.7 6 ? F(x) (a) Find the two missing values in the above table. (b) Let Y = (X2 + X)/2 be a new random variable defined in terms of X. Is Y a discrete or continuous random variable? Provide the probability...
(2 points) Let -1 7 A = -9 5 -8 -6 a R3 by T(x Aï....
(2 points) Let -1 7 A = -9 5 -8 -6 a R3 by T(x Aï. Find the images of u Define the linear transformation T : R- and y 4 under = - T. T(M TM =
(2 points) Let -1 7 A = -9 5 -8 -6 a R3 by T(x Aï. Find the images of u Define the linear transformation T : R- and y 4 under = - T. T(M TM =
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...
Let h : X −→ Y be defined by
h(x) :=
f(x) if x ∈ F
g
−1
(x) if x ∈ X − F
Now we must prove that h is injective and bijective. Starting
with injectivity, let x1, x2 ∈
X such that h(x1) = h(x2). Assume x1 ∈ F and x2 ∈ X −F. Then h(x1)
= f(x1) ∈ f(F)
and h(x2) = g
−1
(x2) ∈ g
−1
(X − F) = Y...
let
the X be the sum of these two balls. construct the probablility
distribution of X. (some answrs have 4 decimals, put 0 before the
decimal as in 0.325)
Two five sided dies with numbers 1, 2, 3, 4 and 5 are rolled. There are 25 outcome such as 1,2; 2,3 etc. Let X be the sum o balls. Construct the probability distribution of X. P(x) т 2 3 4 5 6 7 8 9 10 Total 1 Find the...
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing a fair dice. We place two equal weights on the sides 5 and 6 and for our probability law we have the relation P5 or 6)-3P 1 or x-2 or x 3 or x-4) Compute P(z-j) for j є { 1, 2, 3, 4, 5, 6, }
Problem 4 (25 points) Imagine that you flip a coin twice and let X be the number of heads. Then, P (X-O- PITT))= 0.25 (Note: H = head, T= tail); P(X = 1) = P({H,T; T,H)) = 0.5; and the P(X = 2)-P ((H,H)) 0.25. The random variable X and its distribution can be summarized in the following tables: 1. Outcome P((Outcome) x(Outcome | P(X=x) x 0.25 0.25 0.25 0.25 T,T T,H 0.25 0.5 2 0.25 3 0.125 H,H Generalize...
10 marks Let X~ Poisson(A), which has density 5 marks Find the relative errors when P(O Y 3 2) is approximated by using the standard normal distribution, for λ = 1, 102, 104, 106, respectively (For u 0, the relative error is defined as E-11-aa statistical software to find probability values.) Vapprox/v. You may use R or any
10 marks Let X~ Poisson(A), which has density
5 marks Find the relative errors when P(O Y 3 2) is approximated by...
1. Given the discrete probability distribution for x = 1, 2, 3, 4, or 5. X P(x) 1 5/15 N 4/15 3 3/15 4 2/15 5 1/15 Find the standard deviation of a discrete probability distribution.
1. (6 pts) Consider a non-negative, discrete random variable X with codomain {0, 1, 2, 3, 4, 5, 6} and the following incomplete cumulative distribution function (c.d.f.): 0 0.1 1 0.2 2 ? 3 0.2 4 0.5 5 0.7 6 ? F(x) (a) Find the two missing values in the above table. (b) Let Y = (X2 + X)/2 be a new random variable defined in terms of X. Is Y a discrete or continuous random variable? Provide the probability...
(2 points) Let -1 7 A = -9 5 -8 -6 a R3 by T(x Aï. Find the images of u Define the linear transformation T : R- and y 4 under = - T. T(M TM =
(2 points) Let -1 7 A = -9 5 -8 -6 a R3 by T(x Aï. Find the images of u Define the linear transformation T : R- and y 4 under = - T. T(M TM =
Most questions answered within 3 hours.
-
a mass weighing 8 pounds when attached to a spring, stretches
it 6 inches.the object is...
asked 2 minutes ago -
The following is part of the computer output from a regression
of monthly returns on Waterworks...
asked 7 minutes ago -
Bob Katz is purchasing a new Honda Pilot for $35,000. He is
financing $30,000 with a...
asked 10 minutes ago -
The equity holders of Super Nova, Inc. have 100 million of
equity in the firm. Because...
asked 9 minutes ago -
A sample of 240 observations is selected from a normal
population with a population standard deviation...
asked 25 minutes ago -
Write an (efficient) pseudocode for the implementation of each
of the following function prototypes (proper C...
asked 25 minutes ago -
Klingon Widgets, Inc., purchased new cloaking machinery three
years ago for $5.6 million. The machinery can...
asked 28 minutes ago -
Social work's goal of social betterment implies
A. That social workers should be models of good...
asked 25 minutes ago -
a
12 kg box sits on a horizontal table. a string with tension 30.4 N
pulls...
asked 27 minutes ago -
A circular coil of radius 0.120 m contains a single turn and is
located in a...
asked 39 minutes ago -
help me out
Velocity v = גf, wavelength ג = v/f and
Relative frequency = frequency...
asked 47 minutes ago -
1) Adrenaline is the hormone that triggers the
release of extra glucose molecules in times of...
asked 43 minutes ago