(1) Let X be a random variable with a function(3 14 x! (3-x)!f(x) =x= 0,1.2,3. then E(x) iso.w3517(b)(e) 5(d) 7 (e) None of these

Given, X is a random variable with the function below

Answered: (1) Let X be a random variable with a…

(1) Let X be a random variable with a function [3 1 x= 0,1,2,3 4 x! (3-x)! fx) = { , then E(x) is O.w 3 (a) 7 (c) - (e) None of these (6) (d) 27

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: 5 boys & 5 girls sit in a row randomly, then (A) Probability that 5 girls sit together = 56 10…

A: Probability = favorable outcomes /total outcomes According to guidelines, we can solve only one…

Q: Prove that P (a SX< b) = Fx (b) -Fx (a)

Q: .6 (a) Two sets of n independent trials are performed, independently of each other, and each trial…

Q: 5) Let N= [0, 1) and let F = o ([0, 1/3), [1/3, 2/3), [2/3, 1)) (a) Write down F. (b) Is X(w) = 2w…

A: Given, Ω=0,1→Sample spaceF=σ0,13,13,23,23,1→sigma field

Q: 3. The expection of a random variable X is equal to 5. What can be say about the expectations of (a)…

A: Given, Expectation of random variable X is 5. E(X) =5

Q: (1) Let X be a random variable with p.d.f. ke 2x f(x) ={ 0 <x<0 , then o.w (a) k=3 (b) k=2 (c) k =-…

A: Reviewing information, X is a r.v. with pdf, f(x)=k·e-2x ;…

Q: Let X1, X2, · · be i.i.d. random variables ~ X, and let N be random variable taking values in {0, 1,…

A: a. Consider N is independent of X1,X2,... Now X1,X2,... have same distribution as X So, E(Xi) = E(X)…

Q: Let X1, X2, , X36, be independent random variables such 5. that if 0 e1º). fx(x) = 1 36 (a) 1 –…

Q: If E and F are two independent events, such that P (E ∩ F ) = 1/6 , P (E' ∩ F' ) = 1/3 and (P (E) −…

Q: We’ll say that a permutation T = (T(1),.….., T(n)) contains a swap if there exist i, je{1,..,n} so…

A: a) Let we take n > 1. Let Xi be a random variable if i is a partner in a swap or not. The values…

Q: 3. If X and Y are independent uniform (0, 1) random variables, show that 2 for a > 0 (a + 1)(a + 2)…

A: X and Y are independent U(0,1) random variables:Objective: Show that:

Q: (3) Let X be a random variable with p.df 12(3x+ 0<x<1 15 , then P(0<x< 0.5) is o.w 7 (d) 7 (a) 60…

Q: (a) Discuss the two expressions 2(x₁ - x)² and (-1) 2(x,-)², both of which are used to measure the…

A: Solution: As per the guidelines only first three sub parts should be answered. In case the remaining…

Q: 1-4x 10) If a random variable assumes 4 values with probability 1+3x 1-x 1+2x and ¹-4 4 4 4 the…

A: Here for given probability check whether using value of x total probability is equal to 1 and all…

Q: 42 a. (a) For any two events A and B, show that P (A) + P(B)-1 P(B) P (B), show that P (B/A) (c) If…

Q: (1) Let X be a random variable with a function x= 0,1, 2,3 4 xt(3-x)! S(x)=- , then E(x+1) is o.w…

Q: (b) Let X~N(40,144) and if Y = 2X - 1 Find the following probabilities: (i) P(X 50) (iii)P(35 < X S…

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

Q: (1) Let X be a random variable with a function (3 4 x! (3-x)! S(x) =- x= 0,1, 2,3 . then E(x+1)is…

Q: 6x) 0<x<1 S(x)%=D , then p(x<1) is (a) 1 (b) 2 (c) 3 (d) 4 (c) None of these

A: It is an important part of statistics. It is widely used.

Q: (1) Let X be a random variable with a function (3 1 4 xt (3-x)! *- 0,1, 2,3 , then E(x+1) is o.w (e)…

Q: 6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and 7 the event…

A: We have to show that the P(G|T)=P(T|G) iff P(G)=P(T)

Q: 7. The integral domain (Z, +,.) can be embedded in the field (a) (Q, +,.) (b) (R, +,.) (c) (C,+,.)…

A: We know that every integral domain can be embedded in a field

Q: (2) Let X be a random variable with a function 3 1 |4 х! (3-х)! x = 0,1, 2,3 S(x) =- then p(x S 1)…

Q: (2) Let X be a random variable with p.d.f (3x² +6x) [>x>0 S(x) =- , then p(x < 1) is O.W (a) 1 (b) 2…

Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

A: Since we answer up to three subparts of a problem, we'll be answering the first three sub parts…

Q: 3. X= 0,1, 2,3 4 x! (3-x)! S(x) = 4 , then E(x+1)is O.w 7 (0) (d) , (e) None of these a is the…

A: The correct option is option (e) None of these. The detailed solution is as follows below:

Q: 5. Let X be a nonnegative, integer-valued random variable. (a) Simplify X-1 as 0.) (b) Simplify…

Q: If random variable X is such that E[(X-1)]=10, E[(X-2)] = 6, what is σ'

Q: 10- If the random variable X has the gamma p. d. f with integer parameter a and arbitrary ß> 0, then…

Q: a) A discrete random variable X has a probability function (kx, x= 2,4,6 %3D P(X = x) = k(x – 2),…

Q: Let X be a random variable defined by 0. 2. 3 4 P(X = x) k 2k 2k 2k 2k Then E(X) and V(X) are equal…

Q: m 2 and P(D) = 3 Find 10 Events C and D are mutually exclusive such that, P(C) = (a) P(C') (b)…

A: Given P(C) = 25 and P(D) = 310

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

(1) Let X be a random variable with a function
(3 1
4 x! (3-x)!
f(x) =
x= 0,1.2,3
. then E(x) is
o.w
3
5
17
(b)
(e) 5
(d) 7 (e) None of these

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

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

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

(1) Let X be a random variable with a function 3 1 x = 0,1, 2,3 4 x! (3—х)! f(x) =- , then E(x)is O.W 5 (b) 3 7 17 (c) 3 (d) (e) None of these - 2 2 27
Test significance of correlation
Let (X1, X2, X3) be the random outcome of tossing a fair six-faced die three times, and let (Y(1), Y(2), Y(3) be the order statistics from (X1, X2, X3). We have Y(1) = min (X1, X2, X3), Y(3) = max (X1, X2, X3), and Y(1) < Y(2) < Y(3). Find Pr (Y(1) = 3).
Example 7-36. Let {Xx} be mutually independent, each assuming the values 0.12 . ..., a - 1 with probability . Let S, = X1 + X2 + ... + Xp. Show that the probability generatino (6) = {; P (s) : 1- sa a(1 – s) function of S, is : P (S„ = j) = £ (-1)"*j*av (4)(;=u) and hence %3D - av v=0
(1) Let X be a random variable with p.d.f. ke 3 0
2. Suppose one has n non-degenerate random variables X1, X2,, X, so that X1+ X2 + · · · + Xn = L for some constant L. (Recall that a random variable is non-degenerate if it is not a constant in disguise.) Show that there must be at least one pair of indices i j so that p(X;, X;) < 0.
(b) Let X~N(40,144) and if Y = 2X – 1 Find the following probabilities: (i) P(X 50) (iii)P(35 < X < 45),(iv)P(-45 < Y < 45).(v)P(-50 < Y < 100)
4 of these 1 5 of these 3 of (a) 1.0211 (c) 1.5207 (e) 1.2962 these 2 (a) 0.1111 (c) 2.3333 (e) 12.9375 2 of these 16 tickets total 3 FIG. 5. 2 of these 26. Let X be the random variables described in Fig- ure 5. Find E(√x + 1). (b) 2.3125 (d) 0.4613 X Random draw from the box 27. Let X be the random variable described in Figure 5. Find E(X³ | X < 2). (b) 0.5625 (d) 1.3125
Example 2.8. Suppose X is a random variable whose CDF is: 3 Fx(z) = lp1.00)(2) + 100.0)(2) +20.00)(2) + Ig0,(?) Determine the following: a) fx(1) b) fx(0.1) c) fx(100) d) P(х > 105) e) P(0 0.1)
If A = (1)--[] 10 is v = 5 in null(A)? O v is in null(A). Ov is not in null(A).