coursesPRINCIPLES OF STATISTICS/ll aGeneralSecond ExamIf X~normal (u, o²), and P(X <µ-5) = 0.2 , thenP(X < u + 5|X E-5)a) 0.80b) 0.020c) Can not be determinedd) 1

Given that X~N(μ,σ2) PX≤μ-5=0.2PX-μσ≤μ-5-μσ=0.2 Pz≤-5σ=0.2…

Answered: If X~normal (µ , o²), and P(X<µ-5) =…

Math

Statistics

If X~normal (µ , o²), and P(X<µ-5) = 0.2 , then P(X <µ+ 5|X 2H-5) a) 0 80

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: A Gaussian random variable X is N 0, 1]. A second random variable Y is independent of X and…

A: From the given information, The random variable X is normally distributed N0,1 Y follows uniformly…

Q: The joint PDF of the random variables X and Y is constant on the shaded region, as shown in the…

Q: A continuous random variable X that can has a density function given by .25 if 0<x < 4 f(x) =…

A: Assume, X be a continuous random variable with probability density function, f(x)=0.25 for…

Q: Q. 22 Using Neyman-Pearson lemma, find the best critical region for the test of hypothesis Ho:µ =H0…

Q: 2. Suppose X has distribution function Fx(x) (1 - cos(x)) /2 0< <T and that Y = VX. What is the…

A: Solution

Q: We are given the random process X (1) = A - cos (@ot+ 0), where Ap and o, are constants and 0 is a…

Q: The joint PDF of the random variables X and Y is constant on the shaded region, as shown in the…

Q: 6. A continuous random variable X that can assume values between x = 2 and x =5 has a density…

Q: 4. The function f(x) = x cos(4x) is proportional to a probability density function on the interval…

A: The mean of a probability distribution function is EX=∫-∞∞x.fx

Q: The inter-arrival time X between faults in a network is exponential with parameter = 5. Hence, X has…

A: From the given information, Consider, X be the inter-arrival time between faults in a network which…

Q: The time it takes to repair a personal computer is a random variable whose density, in hours, is…

A: Let X be a continuous random variable with probability density function fx. The expected value of…

Q: uestion 6) Compute the average value of the function flx) = (6x2+5X +9.4) e on the interval L-5,6

A: Average value of function fx over interval a,bis given byAverage=1b-a∫abfx dx

Q: The joint PDF of the random variables X and Y is constant on the region (x, y) : x, y >0N0.5 < x + y…

Q: 17. The diameter of electric cable, say X, is assumed to be a continuous random variable with pdf:…

A: Given f(x)=kx(1-x) ; 0≤x<1

Q: A random variable Y have a distribution with parameter a > 0 and yo > 0 if its density function is…

A: Solution

Q: If the random variable Y denotes an individual's income, Pareto's law claims that P(Y > y) = k ,…

A: Reviewing the information, Given distribution is a pareto distribution such that,…

Q: The random variable X has density fx (x) = ax? +b for 0 0.4) =

Q: An insurer's annual fire losses, X is a random variable with density 2e-2z a > 0 otherwise f(x) =…

Q: Let X be a continuous random varibale with pdf. Find the Expected Value of X. Express your answer in…

A: This is a problem of Theoretical distribution.

Q: The joint probability mass function of two discrete random variables X and Y is given hy: Par(x, y)…

Q: The probability distribution function for normal distribution is given by _(x-µ)² e 202 o V2n f(x) =…

A: As Multiple Questions are present, So I will solve only the first We are given that: Probability…

Q: 7. The joint density function of the random variables X and Yis, {8 S 6x if 0 < x < 1,0 < y < 1 – x…

A: SOLUTION: a)

Q: 2. X1,...,X, are iid exponential(1) random variables, with density function f(x) = e~*, c.d.f. F(r)…

Q: =. Let X1, ..X, be i.i.d. with pdf f(x; 8) = 02xe-0x ,x >0,0 >0 -) Find the MME of 0. ) Find the MLE…

Q: random sample of size 2 from a population with a finite (2r)th moment, 5. For a) Find Mr b) Find E…

A: @solution::::

Q: If X has the distribution function for x< 1 for 1 sx<4 F(x) = for 4 s ax <6 for 6sx<10 Find for x 10…

A: Disclaimer: Since you have multiple questions, we will solve first question for you. If you want…

Q: 3. The joint density for the random variables (X , Y), where X is the unit temperature change and Y…

Q: DETAILED SOLUTION NEEDED

A: Joint Density Function

Q: Suppose that X1andX, constitute a random sample of size 2 from a population with probability density…

Q: A random variable Y has pdf ſ½(1+0y), −1 < y <1 fy (y|0) = = 0, otherwise a. Find the method of…

Q: 4. The joint PDF of two continuous random variables X and Y is given by fx+y 0<x<1, 0<y < 1 S(x, y)…

Q: 4. The random variable X has a probability density function 1 0<x< 20 where 0 is a positive cons…

A: Given Information: The pdf is given by; fx=12θ 0<x<2θ ,θ is positive Determine the…

Q: If X is a uniformly distributed random variable between -1 and 1 (pdf of x is constant=1/(2pi)…

A: From the given information, fx=12π, -π≤X≤π Given that Y=sin(X) Consider, the distribution function…

Q: Let (X,Y) be a two-dimensional random variable with the joint pdf {6xy 0<x<1,0 < y< Vx otherwise…

A: The given probability density of (X,Y) is given as, f(x,y)=6xy ; 0≤x≤1, 0≤y≤x0 ; O.W Need to…

Q: 2. Suppose X is a continuous random variable with pdf -즐z if 0 1.0).

Q: Let X be a random variable with probability density c cos x, x E [-1/2,7/2], C COS X, f (x) = 0,…

Q: distributed random variables with Var(X1) < . Show that 1 n(n +1) jX; →, EX1. j=1 Note. A simple way…

Q: The joint PDF of the random variables X and Y is constant on the shaded region, as shown in the…

Q: Let X1,·… , X, be iid with population density (e (z-0) > 0, Sx(x) = otherwise. Here 0 is an unkown…

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

Q: A random variable X is of continuous type with pdf: Ax) = 2x, 0 S*SI - 0, elsewhere Find Prs P(x >…

A: Let X be a random variable. The probability density function is given as:…

Q: A discrete random variable X has probability mass function Sk(") for a = 0, 1, ..., 16 %3D px (x) =…

A: For a discrete random variable, X, with probability distribution Px(X), the relation ∑(PX(x))=1…

Q: A system for a random amount of time X (in units of months) is given by a density (txe2 : x>0, :…

A: The moment generating function is defined as MX(t)=EetX

Q: 9. A simple random sample of size n is taken from a population with density f(x) = x°(1+ 0), 0<x<1…

A: Method of moments:

Q: 7. For simple linear regression, we assume that Y = Bo + BIX +e, where e - N(0,0?) and X is fixed…

Q: f X is a random variable that is uniformly distributed between -1 to 1, find the PDF √|X| of and pdf…

A: Solution:

Q: If Q = f (x, y) and considering increases in both variables, how is expressed the total differential…

A: Concept - By using chain rule of derivative

Q: Let {X1, X2,..., X,}be a random sample from n(µ, 0) where both u and 0 > 0 are unknown. (a) Perform…

Q: 11. Suppose X1, X2, ... , Xn are i.i.d. from a distribution with pdf: f(x) = e°x-0–1 for x > e f (x)…

Q: 2. A random variable X has the density function. ; 0<x<∞ xe* f(x) = { Otherwise Find a. P(1 < x< 2)…

Q: Two random variable X and Y have the joint PDF given by: J;(x³y+ 1) ,0<x<2,0<ys1 fxy(x,y) = { 4…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

courses
PRINCIPLES OF STATISTICS/ll a
General
Second Exam
If X~normal (u, o²), and P(X <µ-5) = 0.2 , then
P(X < u + 5|X E-5)
a) 0.80
b) 0.020
c) Can not be determined
d) 1

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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

Let X be a (continuous) uniform random variable on the interval [0,1] and Y be an exponential random variable with parameter lambda. Let X and Y be independent. What is the PDF of Z = X + Y.
A sharpshooter is aiming at a circular target with radius 1. If we draw a rectangular system of coordinates with its origin at the center of the target, the coordinates of the point of impact, (X, Y), are random variables having the joint probability densityf(x,y) =⎧⎪⎪⎨⎪⎪⎩1/π for 0 < x^2 + y^2 < 10 elsewhereFind:(a) P[(X, Y) ∈ A], where A is the sector of the circle in the first quadrant bounded by the lines y = 0 and y = x;(b) P[(X, Y) ∈ B], where B = {(x, y)|0 < x2 + y2 < 1/2}
Let X and Y be two random variables with joint density function f(x,y) = (3 − x + 2y) / 60, for 1 < x < 3, 0 < y < 5. Find the marginal density functions. (Check that they are nonnegative and integrate to 1 before continuing further) Are X and Y independent? Explain.
Let (X,Y) be a two-dimensional random variable with the density function below. So P(X>1/2 | Y>1)=P(X>1/2)? **continuation on image** **caso contrário = otherwise**
Find the moment generating function MU(t) for the standard uniform random variable U (the continuous random variable whose density function is 1 on [0,1] and 0 elsewhere)
Let Y be a continuous random variable. Let c be a constant. PROVE Var (Y) = E (Y2) - E (Y)2
5. Let Z be a standard normal random variable. Obtain moment generating function (mgf) of Z.Find the density of random variable Y = Z2 and verify that it is a pdf.
Explain Dirichlet and Newmann Boundary conditions as applied to conduction with examples.
Let (X, Y ) be independent and uniformly distributed random variables (RVs) on the interval[0, 1]. Equivalently, let (X, Y ) be a point chosen uniformly at random in the unit box [0, 1] × [0, 1] on the(x, y) plane. Define the RV Z ≜ √X^2−Y^2 as the random distance of the point (X, Y ) from the origin (0, 0). Find the probability density function (PDF) for the RV Z.
Let X 1 ,X 2 ,...,X n be a r.s. of size n from a distribution N(theta, 1) find best critical region of size a for testing H 0 : theta=0 against H 1 : theta=1 , also find the value of c if n = 25 and a = 5%.
The number X is chosen at random between 0 and 1. determine the density functions of the random variables V = X/(1 - X) and W = X(1 - X)
Find the critical region/s using z-table a) a = 0.015, two-tailed test b) a = 0.025, left-tailed test c) a = 0.0125, right-tailed test