Answered: Suppose that X1, X2, X3, ..., X99, X100…

Suppose that X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables. What is E[(X1+X2+X3+...+X69+X70)*(X71 + X72 + ... + X99+X100)]?

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 random variable X has a range of {1,2,3, ...,10}. Which of the following are equivalent to P(X is…

A: Identify the correct options for the given statement. The correct options for the given statement…

Q: uppose that Xand Yare random variables such that Var(a) = 9, Var(Y - 4, and the correlation is -1/6.…

A: It is given that Var(X) =9, V(Y) =5, correlation is -1/6.

Q: A source has six messages with probabilities p(x)-[0.25, 0.3, 0.2, 0.08, 0.15, 0.07], find the…

A: To find the coding redundancy of a Shannon-Fano code, we need to calculate the average code length…

Q: A drug company claims their new flu vaccine cures 92% of patients. A family of five people is…

Q: Let X be a binomial random variable with parameter n and p. Show that E [x + 1 - (1 — Р)"+1 (n + 1)p…

A: X is the binomial random variable with parameter n and p.

Q: See attachment.

A: Given X(n,p) is a binomial random variable with parameters n,p.n is total number of trailsp is…

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: - Let X and Y are independent Bernoulli random variables, then find X+Y.

A: X & Y are independent Bernoulli random variables,Bernoulli distribution : It is a discrete…

Q: et X denote a beroulli random variable, that is P(X=1) =p and P(X=0)=1-p and let Y be a binomial…

A: Given information X~Ber(p) and Y~Bin(n,p)

Q: Let X1, X2, ..., X10 be independent random variables. Let Y1 = min{X1, X2, X3}, Y2 = max{X1, X2,…

A: The following solution is provided below

Q: Give the PMF of X and the probabilities of X in [0,2) or (2,+∞) or (-∞,2].

Q: If X∼U(4.5,18.5) is a continuous uniform random variable, what is P(X<11)?

A: Given problem Given that If X∼U(4.5,18.5) is a continuous uniform random variable, We need to…

Q: In a field there are N stands each with a bunch of balloons of a unique color. There is a random…

A: Given that, Field consist of 'N' stands with bunch of unique color. Here, Probability of shooting…

Q: Suppose that in a hospitał, 80% of COVID-19 patients were experiencing a cough, 60% were…

A: The union probability for any two events A and B is defined as P(A or B) = P(A) + P(B) – P(A and…

Q: Suppose that 8% of the patients tested in a clinic are infected with Covid-19. Furthermore, suppose…

A: From the given information, the table constructed as follows: Infected Not infected Total…

Q: A box contains 50 marbles, x (x > 1) of them are white and the rest are all black. Two of the 50…

A: Steps

Q: There are three alterntive links between A and B. The probabilities that a particular message has…

A: The probability can be obtained using the formula P(at least one) =1-P(none)

Q: If two random variables X, and X, are independent, then var (X,+X,) = var (X,)+ var (X,) var (X,-…

Q: A random variable X has mean 3 and variance 2. Use Chebyshev's inequality to obtain an upper bound…

A: Answer:-Consider that a random variable X has expected value μ and standard deviation, σ. Now,…

Q: Suppose that 40% of the population is infected by COVID-19. A test kit indicates as positive with…

Q: a. Let X be the random variable representing the duration of time before 2 balloons of the same…

A: Given that, Field consist of 'N' stands with bunch of unique color. Here, Probability of shooting…

Q: During a fitness center outbreak, 1/10 of the customers of the center are infected by COVID-19.…

A: Solution: 6. Let E be the event that he/she has flu symptoms. From the given information,

Q: Suppose that X1, X2, X3, .., X99, X100 are independent Bernoulli(1/2) random variables. What is…

Q: a) Let W = x1 + x2 be a random variable representing the total time to examine and repair the…

A: W = x1 + X2 i)The expected value is given by E(W) = E(X1) + E(X2) E(W) = 31.6 + 90 = 121.6 ii)The…

Q: 4. Let X₁, X2,... be independent random variables having the Cauchy distribution, and let Sn = X₁ +…

Q: that the tax return will have at least one computational error. Whether one tax return has a…

A: Hello. Since your question has multiple parts, we will solve first 3sub parts question for you. If…

Q: Exercise 9. Suppose that Z,, Z2,Z3 are independent N(0,1) random variables. (c) Compute P(Z? + Z3 +…

A: We want to find the probability. Note: We want to find the probability by using standard normal…

Q: If the random variable X has the pelf Find a) P(-1 ≤X <14) X 20) b) E(X(2-3X)) f(x)=(X-31/10),…

A: Solution is given below

Q: 1. Let X₁ and X₂ be any random variables, then V(X₁ + X₂) must be: A) greater than V(X₁) + V(X₂). B)…

A: Variance is the measure of dispersion which is used to determine the spread of the distribution.

Q: If Xn, n > 1, independent random variables and Xn 4 X (a random variable X), are

A: A degenerate distribution (sometimes called a constant distribution) is a distribution of a…

Q: 7% of messages on Jmes.com have objectionable material. This means that if we randomly select a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Assume that a discrete random variable X such that V(X) = 6.5. Find the value of V

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: If X, and X, are two independent random variables, then Px, + x, (@) = Øx, (@) Øx, (@) %3D

Q: 2. Let X,Y: → R be simple random variables. Show that X+Y and XY are also simple random variables.

A: Random Variable :- A random variable is a function from sample space Ω into the real numbers. To be…

Q: mean of X1 + 5X2 – 3X3. (exact value) ndard deviation of X1 + 5X2 – 3X3. (enter your answer correct…

A: Note: As per the company's norms, solving first three subparts. Please repost the remaining…

Q: If X1 and X2 are independent random variables hav-ing binomial distributions with the parameters θ…

Question

Suppose that X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables.

What is E[(X1+X2+X3+...+X69+X70)*(X71 + X72 + ... + X99+X100)]?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

6. If X~P.(1.8), find the following probabilities. a) PCX=1) b) P(X22) c)PCX<1)
85% of tax returns have computational errors. This means that if we randomly select a tax return, there is a probability of 0.85 that the tax return will have at least one computational error. Whether one tax return has a computational error is independent of whether any other tax return has a computational error. John Jay, a new tax return auditor randomly selects tax returns for audit one after another. Let X = the number of tax returns selected until he selects the 1st return with computational errors. Let Y = the number of tax returns selected until he selects the 2nd return with computational errors. What is the probability that the 1st 3 tax returns selected have computational errors? What is the expected value of X? What is the variance of X? What is the probability that X > 3? What is the probability that X < 3? What is the probability that Y = 4? What is the probability that Y< 4?
Suppose X is a random variable with E(X) = 0 and Var(X) = 2. What is E(X2 )? a). 1 b). 2 c). 3 d). 4 e). none of above
A cigarette company wants to promoe thne sales of X's cigarettes (Brand) with special advertising campaign. Fifty out of every thousand cigarettes are rolled up in gold foil and randomly mixed with the regular (special king-sized, mentholated) cigarettes. The company offers to trade a new package of cigarettes for each gold cigarette a smoker finds in a package of Brand X. What is the probability that buyers of Brand X will find X = 0, 1, 2, 3, . gold cigarettes in a single package of 10 ? ...
Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with p = 0.01. If 100 bits are transmitted, then P(X>1)=
A sample of 500 students during the fall semester shows that 300 took ECON 201, 220 took MATH 126, and 80 students took both at the same time. What is the probability that a student took ECON 201 or MATH 126.
An analysis of personal loans at a local bank revealed the following facts: 10% of all personal loans are in default (D), 90% of all personal loans are not in default (D'), 20% of those in default are homeowners (H | D), and 70% of those not in default are homeowners (H | D'). If a personal loan is selected at random, P (D | H) = ___. O 0.78 0.02 0.03 0.18 O 0.63
= 3. Propose an algorithm for simulating the occurrence of two dependent events A and B that uses only one uniform random variable U~Unif(0, 1). Assume that the probabilities P(A) ΡΑ, P(B) = PB, and P(AUB) = q are given, where PA, PB, q = (0, 1) and max(PA, PB) < q < PA+PB· Formulate your answer in the form of the following statement: "if U E ..., then event A occurs; if U € .……., then event B occurs."
Let U1 and U2 be two iid U(0,1) random variables. Show that U1 and 1 - U2 have the same distribution by showing their CDFs are the same
Four apples and four oranges are distributed between two boxes in such a way that each of them has four fruits. At each step, we withdraw one fruit from each box and exchange them. Let Xn be the number of apples in the first box. Find the limiting probabilities.
Suppose that X1, X2, and X3 are independent random variables. Suppose further that E(X1) = 4 E(X2) = 5 E(X3) = 7 and Var(X1) = 4 Var(X2) = Var(X3) = v2 a.) Compute E(4X1 +«X2+eX3+ 13) b.) Compute E(X1X3+ X2) c.) Compute Var(V2X2 + V3X3+ 17)
2. Let d >0 and 0 d) = a, determine P(Q d) = and P(R d), obtain P(-d d). Find P(S > d) in terms of a.