ACC Vly, calculate the average value of the Y random variable defined as Y = X A 2 + 2 and the probability P (Y = 2).E[Y] = 2.7, P (Y- 2) = 0.5The random variable X is defined as a random variable that can take integer values in the range -3

Ans is B. Explanantion is given in below handwritten image.

The random variable X is defined as a random variable that can take integer values in the range -3 1) = 0.2, P (x> 0) = 0.6, P (X <-1) = 0.1, P (X <0o) = 0.2. Accordingly, calculate the average value of the Y random variable defined as Y = X ^ 2 + 2 and the probability P (Y = 2). A7944

The random variable X is defined as a random variable that can take integer values in the range -3 1) = 0.2, P (x> 0) = 0.6, P (X <-1) = 0.1, P (X <0o) = 0.2. Accordingly, calculate the average value of the Y random variable defined as Y = X ^ 2 + 2 and the probability P (Y = 2). A7944

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: X denotes a binomial random variable with parameters n and p, Indicate which area under the…

Q: The owners manual of your new car states that each front tire should be filled to a pressure of…

Q: 3(6x- x) Determine the mean and variance of the random variable for f(x) = 0<x< 6. 108 Round your…

Q: The distribution of the random variable X is determined by the function: f(x) = ((x-1)2)/c ; for…

Q: (b) Assume that n independent count variables {X,X,...,X,} are identically distributed as X, ~…

Q: We are given Z as a random variable with E(Z) = 9 and Var(Z) = 5. Solve for the following: (show…

Q: X is distributed as a Normal random variable with mean of 100 and a standard deviation of 10 (i.e…

Q: Consider two independent binomial experiments. In the first one, 86 trials had 51 successes. In the…

A: As per our guidelines we are suppose to answer only one question kindly post the remaining question…

Q: The number of sales in a day for a small company is a gamma random variable that has a distribution…

A: Introduction: The random variable, X representing the number of sales for a small company in a day,…

Q: (a) Find the values of a and B. b) Find the probability that on any given day the daily power…

A: Given thatIn a random variable x having a gamma distribution with mean = 9 and variance =27

Q: Q11) Calculate the variance of g(X)=X^2+3, where X is a random variable with probability…

Q: la) P(X>2) (b) P (Y > 0), where Y = - 2

A: given X~N5,2 the z=X-μσ~N0, 1 mean = 5 variance = 2 , a) PX >2=PX-μσ>2-52…

Q: Q1\A/ Consider a discrete random variable X whose pmf is given by: Find: 1-E[ X ] and Var( X )? f(x)…

A: Given p.m.f. is f(x)=13 x=-1,0,1 =0 otherwise

Q: Suppose a random variable X has range {−3, −1, 1, 2}. Its proba- bility distribution (probability…

A: Let X be a discrete random variable that can take any values of x with probability values, then the…

Q: Let X be a continuous random variable with PDF 2x fx\=) = { otherwise Find the expected value of X.

Q: The number of accidents causing damages in an industrial setting are Poisson distributed with a mean…

A: Given:- The number of accidents causing damages in an industrial setting follows a Poisson…

Q: Let ZZ be a discrete random variable taking one of the four distributions covered in Chapter 10.…

Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

A: Given Information: Let X be a random variable such that X~Nμ=0,σ2=4 and Y=X+22.

Q: Find the mean of the random variable X with PDF S 3x² _if 0 <x < 1, f(x) = otherwise.

A: For the given random variable X, its pdf is

Q: Suppose that the random variable X has the following cumulative distribution function. F(x) = x 3…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 24 psi.…

Q: The weekly demand for propane gas (in 100's of gallons) from a particular facility is a random…

Q: X is distributed as a Normal random variable with mean of 100 and a standard deviation of 10 (i.e…

A: Given information- We have given that- X ~ N (100,10) Population mean, µ = 100 Sample size, n = 20…

Q: -generating function is as follows f(x)= 2x-1/16 , x=1,2,3,4 my answer is mean = 25/8, var = 170/16…

A: x 1 2 3 4 f(x) = 2x-116

Q: fua (1,894 |(-x),0 +0,2 ='7 2. What is the expected value and variance of the random variable y?

A: Expected value of X is given by, E(x)= integration|xx*f(x)dx = Integration|00.6 x*1.894*(1-x2)dx =…

Q: If X and Y are independent random variables following the same discrete distribution. How to prove…

A: To prove or disprove the equation when X and Y are independent random variables following the same…

Q: What are the mean and standard deviation of x_av?

Q: second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 550 and…

Q: The probability of an event depends on the random variable X and can be expressed by the following…

A: Given:P(A|x)=1-e-kx ;x≥0 where k>0Given that X is a normally distributed random variable with…

Q: et x be a binomially distributed random variable with parameters n and p. For what value of p is…

Q: Let X be a random variable and a real number. Show that E(X - a)² = varX + (µ − a)² Hereμ = EX is…

A: E(X−a)2=E(X−μ+μ−a)2=E((X−μ)+(μ−a))2=E((X−μ)2+2(X−μ)(μ−a)+(μ−a)2)=E(X−μ)2+E(2(X−μ)(μ−a))+E(μ−a)2=E(X−…

Q: 1- P(Y > 1) 2- P(X>2 Y < -1) 3- P (3<X<7)

Q: Suppose that a medical test has a 85% chance of detecting a disease if the person has it…

Q: Find the probability distribution of the random variable y, which represents the number of times…

A: Given, Y 1 2 3 f(y) 130 430 930

Q: let X be a random variable and X~B(9,0.55) find the mean (expected value) of the random variable X

A: Given : X ~ B(9,0.55) If X ~ B(n,p) then, Mean : E(X) = n*p Here, n = 9 p = 0.55

Q: (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four…

A: According to our guidelines, we can answer only three sub-parts. So, please repost the rest parts.

Q: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]= (b) Var (2…

A: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]= (b) Var (2 +…

Q: The number of particles emitted at a radio frequency follows Poisson distribution with an average…

A: Given data λ = 120 particles per hour = 12060 particles per minute = 2 particles per minute

Q: A random variable Y has a uniform distribution over the interval (8,, e,). Derive the variance of Y.…

Q: X is a uniform random variable with expected value μx = 7 and variance Var[X] = 3. What is the PDF…

A: The objective of the question is to find the Probability Density Function (PDF) of a uniform random…

Q: The independent random variables X1, X2, X3, ... X36 all have mean µx = 10 and standard deviation Ox…

A: We have given that n=36 , μx=10, σx=3 Find P(9<X̄<11)

Q: PROBABILITY DISTRIBUTION, f(x)= a+b 2 (b-a)² WITH E(X)= AND Var (X) = AS THE STATISTICIAN AT ESKOM…

Q: random variable

Question

ACC Vly, calculate the average value of the Y random variable defined as Y = X A 2 + 2 and the probability P (Y = 2).
E[Y] = 2.7, P (Y- 2) = 0.5
The random variable X is defined as a random variable that can take integer values in the range -3 <x <3. P
555-9
g160
16010055587047944
E [Y] = 0.5, P (Y =
A
555-987047
B
g160
%3D
0.2
555-987047
%3D
E [Y] = 2.7, P (Y = 2) =
0160
160 0555-987
g160 100555 - 9870479447
555-987047
то
987047944
E [Y :
555-987047
g160 100555 - 9870479447
g160100555- 987047944
655-987047944i
=
g160100555 - 9870479447
47944
= 0.2.
g160100555- 9870479447
555-
g160100555 - 9870479447
047944
g160100555 - 987047944/
g160100555 - 9870479447
479447
g160100555- 987047944
g1601005
2479447
g160100555 - 987047944
047944
g1601005
0479441

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 with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

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

Similar questions

Suppose that random variable X has a normal distribution with mean μ = 10 and standard deviation σ = 4, so that (10,4) XN. Find:
the maximum likelihood estimator of a random variable x with uniform distribution U(0, 0), 0 = max(x₁.x). Is the estimator biased?
Find the standard deviation of a discrete random variable X which satisfies P(X=1)=0.1,P(X=-1)=0.6, P(X=2)=0.3.
Let X₁ and X₂ be two independent random variables with normal distributions N (1,9) and N(-3,16), respectively. Find the moment generating function of Y= X₁ + X₂. What distribution is associated with this moment generating function?
Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2- P(X>2 | Y< -1) Q3/ Let X be a random variable with uniform distribution Uniform(a,b). find the mean and variance
X is a Poisson random variable with a rate 11 Calculate P(X = 8)?
The probability distribution of the discrete random variable X is find the theoretical standard deviation of thevariable of interest using the positive square root of the formula:
Suppose that a medical test has a 85% chance of detecting a disease if the person has it (P(PT|D)=0.85) and a 90% chance of correctly indicating that the disease is absent if the person really does not have the disease (P(NT|Dc=0.90). Suppose that 95% of the population does not have the disease P(Dc)=0.95 If the test result is negative what is the probability that the person actually has the disease? (P(D|NT)=?)
the random variable Y is such that : E(2Y+3)=6 and Var(2-3Y)=11 find E(Y^2)
Let X be a normal random variable with mean μ=10 and variance σ^2=36. Find (a)P{X<22} (b)P{X>5} (c)P{4<X<16}
Let X be a strictly positive random variable. Determine which of the following quantitiesare larger:(a) E(X^4) or (E(X))^4(b) E(X^1/9) or (E(X))^1/9(c) E(X^3 + 4X^2 + 9) or (E(X))^3 + 4(E(X))^2 + 9(d) E(e^X ) or e^E(X)(e) E(arctan(X)) or arctan(E(X))
Solve (F,G,H,i) only Please!!!