Answered: A random variable takes the values 1,…

A random variable takes the values 1, 2, 3 where P(x=1)%3D0.5 and E(x)=1.7, then P(x >2|x>1)= O a. 0.2 O b. 0.8 O c.1 O d. 0.4

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: Two random variables have expected values E[X] = 0.6 and E[Y] = 0.2 and E[XY] = 1.2. Are X and Y…

Q: 4, ii. a probability distribution function m(x) for a discrete random variable X such that a…

A: We have to find PMF of a discrete random variable X with mean and standard deviation such that

Q: A random variable X has the following PMF: [refer to image] a) Find E(X) b) If Y = g(X) = X^2,…

A: The PMF of X is given as:

Q: Let X1, X2, X3 be i.i.d. random variables N(0, 1). Show that Y1 = X1+8X3 and Y2 = X2+8X3 have…

A: Solution: ut x1 x2 , x3 iid ~N(u=0, α2=1) ut Y1 = x1 +δ x3 & y2= x2+δx3…

Q: Q3. The moment generating function for a random variable X is e3t M(t)=1-t2¹ What are the mean and…

A: The moment generating functionMx(t)=e3t/(1-t2) -1<t<1To find mean and variance of X Concept…

Q: 3. Let x be a random variable representing the concentration of chemical Z in human blood. Over a…

Q: Question 13: Events A and B are defined as follows: P(A) = 0.46 P(B) = 0.62 P(A U B) = 0.94 Part A:…

A: As per the guidelines, we are supposed to solve the first question only. Please repost other…

Q: function: 3y2 ;-1< y< 1 f(y) = 0; Otherwise Compute the Variance of Y. That is, compute Var(Y).…

A: Given,f(y)=3y22; -1<y<10; otherwise

Q: Section I 1. Consider a discrete random variable X with pmf summarized in the table below. -3 4.…

A: 1. The given probability mass function table is, x -3 2 4 fx 0.45 0.3 0.25

Q: Let X be a discrete random variable with the following PMF: for x = 0 Px(x) = = 12 L3 L6 for x = 1…

A: Step 1:The probability mass function is given asx012P(x)1/21/31/6The range of the given PMF would be…

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

Q: Suppose x is a normally distributed random variable with u = 31 and o = 6. Find a value xo of the…

Q: Let w₁, W2, ..., wt be independent random variables from a normal distribution with mean 0 and…

A: Let w1, w2, ..., wt be independent random variables from a normal distribution with mean 0 and…

Q: 30. It is observed that 50% of mails are spam. There is a software that filters spam mail before…

A: Let us define some events A : an email is spam. B : an email is not spam. E : an email is tagged as…

Q: 2) Given, f(x)= (2x+1)/ 25, x= 0, 1, 2, 3, 4 Determine the mean and variance of the random variable.

Q: 2y Q1. If f (y) = for 0 < y<k for what value of k does Var(Y)=2? Q2. Let f (y) = 3(1 – y)² for 0 < y…

Q: An irregular die is rolled. Let X be the number of pips on the top face. The Question 5 probability…

A: Result. f(x) is an pmf iff ∑f(x)=1

Q: If random variable x is exponentially-distributed with mean a= 2, calculate p(X> 3)· Σ 2e-2x x=3 E…

A: From the provided information, Mean (λ) = 2 X~exp(2)

Q: 3. Let X and Y be two Binary random variables with joint probability distribution: x = 0 x = 1 0.2…

A: The joint probability density function is given as- fx,y x=0 x=1 y=0 0.2 0.4 y=1 0.1 0.3

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…

Q: i. Show that f(x, a, ß) is a distribution ii. Find E(X)

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

100%

A random variable takes the values 1, 2, 3 where P(x-1)%3D0.5 and E(x)=1.7, then P(x >2]X>1)=D
O a. 0.2
O b. 0.8
O .1
O d. 0.4

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

$Continuous Probability Distribution$

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

Let X and Y be two random variables and E(Y) = 1. Which one of the following is true about E(Y|X)? %3D E(Y|X) = 1 а. b. E(Y|X) > 0 c. E(Y|X) = E(X) d. The information given in the question is not sufficient to compute E(Y|X)
1. Let X be a random variable having pdf f(x) = 6x(1 – x) for 0 < I < 1 and 0 elsewhere. Compute the mean and variance of X. 2. Let X1, X2,..., X, be independent random variables having the same distribution as the variable from problem 1, and let X, = (X1+ ·.+Xn). Part a: Compute the mean and variance of X, (your answer will depend on n). Part b: If I didn't assume the variables were independent, would the calculation in part a still work? Or would at least part of it still work? 3. Suppose that X and Y are both independent variables, and that each has mean 2 and variance 3. Compute the mean and variance of XY (for the variance, you may want to start by computing E(X²Y²)). 4. Suppose that (X,Y) is a point which is equally likely to be any of {(0, 1), (3,0), (6, 1), (3, 2)} (meaning, for example, that P(X = 0 and Y = 1) = }). Part a: Show that E(XY) = E(X)E(Y). Part b: Are X and Y independent? Explain. 5. Let X be a random variable having a pdf given by S(2) = 2e-2" for 0
The random variable X has the distribution shown in the table to the right. P(X = x) (a) Find P(X= 3). (b) Find u. 0.3 0.2 4 (c) Find o?. 0.2 (a) Find P(X= 3). P(X = 3) =(Type an integer or a decimal.) (b) Find µ. H= (Type an integer or a decimal.) %3D (c) Find o?. o2 = (Type an integer or a decimal.)
Use what you know about order statistics to show that for the random sample of size n = 3 the median is an unbiased estimator of the parameter θ of a uniform population with α = θ − 1/2 and β = θ + 1/2.
A probability distribution function is modeled by the following X-Y cartesian graph: 15k 长 6 7 12 Determine the following: 1. Probability density function for the intervals defined on the graph. 2. Expected value of X. 3. Variance of X. I 4. P(X<5) 5. P(2
Solve c,d
Just d,e
6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1
A random variable, X, has a pdf given by The expected value of Y is O a. 3/5 O b. 5/3 O c. 7/5 O A random variable Y, is related to X by Px(x) d. 7/3 = 1 -3 < x < 1. and 0 otherwise 4 Y = X²
For a random variable X E(X) = 1.27, E(X²) = 3.79 The variance of X is equal to Select one: O 2.52 O 2.9843 O 2.1771 O 0.758 0.3351
Chapters: Normal and Exponential random variables. Q: Let X be an exponential random variable with rate 1. If a and b are positive numbers, then P(X > a + b|X > b) = P(X > a). a. Explain why this is called the memoryless property b. Show that for an exponential rv X with rate 1, P(X > a) = e-ad.
You are given the following information regarding random variable X: I. E[X] = 2 II. E[X³] = 10 III. Var[X] = 1 Find E[(X – 1) ³].