Using the law of total probabiltySuppose we have a sample space S and two events A and B such thatS = AUB and AnB= 0and an event E,Suppose we have the following results:P(A) = 1/3P(B) = 2/3P (E|A) = 1P(E|B) = 0What is P(E) ?Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction bycancelling factors common to the numerator and denominator but you do not need to do this.

Law of Total Probability-Let B1,B2------Bn be a set of mutually exclusive events of sample space S.…

Using the law of total probabilty Suppose we have a sample space S and two events A and B such that S= AUB and ANB=0 and an event E, Suppose we have the following results: . Р(4) — 1/3 • P(B) = 2/3 P(E|A) = 1 P(E|B) = 0 What is P(E) ?

Using the law of total probabilty Suppose we have a sample space S and two events A and B such that S= AUB and ANB=0 and an event E, Suppose we have the following results: . Р(4) — 1/3 • P(B) = 2/3 P(E|A) = 1 P(E|B) = 0 What is P(E) ?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Let W = { ⟨X,Y⟩ | X and Y are DFAs and L(X) ⊆ L(Y)}. Show that W is decidable.

Q: We have been working extensively with the predicate "eventually greater than" defined on pairs of…

A: Given predicate is, "eventually greater than" which is defined on pairs of functions f and g. f(x)…

Q: Solve the following computational graph for both the forward and backward passes with a gradient…

A: Back-propagation is the pith of brain net preparation. It is the act of calibrating the loads of a…

Q: Consider the following 10 data points: X=((2.0.1.-3.-2), (0, 2.-3.-3.-2), (1, 2.1,…

A: import numpy as np X = np.array([[2,0,-3,-2], [1,2,1,-3], [0,2,-3,3],…

Q: Prove valid. (x) ( ~ Ax > Dx) / (Ex) (Ax v Bx) (Ey)…

A: Below is the answer to above question. I hope this will helpful for you..

Q: Let E = {a, b} and L = {ww|w e E and w is of length k}. Show that for each k, no DFA can recognize…

A: We need to show that DFA can't be less than 2^k states for given scenario.

Q: Prove The range of πk − πk+1 is the same as the range of (πk − πk+1)(Ik − Ik+1). More specifically,…

A: solution:

Q: Consider a text corpus consisting of N tokens of d distinct words and the number of times each…

A: Introduction: The question asks to compute Laplace smoothed estimates of word probabilities for a…

Q: Give an example of a random variable X : {b, c, d, e} → N (Natural Number) with expectation 2, where…

A: Here is the example regarding random variable X.

Q: Determine the causality for each of the following linear systems. a. y(n) = 0.5x(n) + 20x(n - 2) –…

Q: Linear regression aims to learn the parameters 7 from the training set D = {(f(),y(i)), i…

A: Solution: Given, Linear regression aims to learn the parameters 7 from the training set D =…

Q: Pekora can hop on trampolines in numerous passes. She begins the pass by hopping on any trampoline…

A: Here have to determine about the trampolines in numerous passes programming problem statement.

Q: Give a constructive proof to show that a DFA Mk = (Qk, Σk, δk, q0, Fk) exists that recognizes each…

A: A computer is a digital electronic machine that can be programmed to automatically perform a series…

Q: 3. Prove that (P =Q) = R has the same truth with (P = R) ^ (Q=R). We write (P=Q)=R= (P=R) ^ (Q=R).

A: Given: Prove that (P⇒Q) ⇒ R has the same truth with (P⇒ R) ^ (Q⇒R).

Q: Algorithm for Updating a value with a change value and a momentum term. in: sequence of n values V =…

A: given data: in: sequence of n values V = V0, V1,...,Vn−1 (2 ≤ n); change c; momentum coefficient α…

Q: show the validity b(s, b, b), b c d (E(b, c, d) → E(h(b), c, h(d)))

A: According to the information given:- We have to show the validity of mention

Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

Q: Prove that (a + b) mod m = [(a mod m) + (b mod m)] mod m

A: The problem asks for a proof of a modular arithmetic property:Given: and (which means is a…

Q: Let X,,X,be two real-valued features and Y be a Boolean-valued function of the given features such…

A: ANSWER: Gaussian Naive Bayes: Naive Bayes classifiers are an assortment of order calculations in…

Q: Let's look at the elliptic curve Y=X + 7 mod 23. As a result, this is the group related E23 (0,7).…

A: Reply

Q: Question Consider the random variables A, B, and C. Identify all of the following equalities that…

A: According to the information given:- We have to Identify all of the following equalities that are…

Q: Let i, j, w, x ∈ Za with i, j different from each other and w, x different from each other. When an…

A: There is i,j,w and x, 4 elements in the set. When a function f is defined to itself, there will be…

Q: De Morgan's Theorem is an example of the Rule of Replacement. Use a truth table to show that ~(p^ q)…

A: - We need a truth table to illustrate the equation shown.

Q: 1. Write down an algorithm that can be used to evaluate whether a given sample is from a Poisson…

A: set.seed(1) x.poi<-rpois(n=200,lambda=2.5) # a vector of random variables from the Poisson distr.…

Q: Generate a predictor X, using rt() function. with n=200, as well as E. Let's use noise vector 50 as…

A: In this problem, we are tasked with generating a predictor vector X and a noise vector ε. The…

Q: Consider a problem with four variables, {A,B,C,D}. Each variable has domain {1,2,3}. The constraints…

A: Consider a CSP that contains the variables A, B, and C, each with domain {1,2,3,4} . To remove B,…

Q: Let G be a PRG with (n) = 2n. Assume this is true for all values of n. Let H: {0,1}" {0,1}2" be as…

Q: Based on the pumping lemma, if L is regular, then 3k > 1 (V strings w E L, where |w| >k (3x, y, z (w…

A: A key idea in formal language theory is the Pumping Lemma, which offers a standard for demonstrating…

Q: Suggest a Bayesian prior for a probabilistic ellipse slice. The slice should be normally distributed…

A: Explanation: import numpy as np import matplotlib.pyplot as plt from scipy.stats import kotz #…

Q: Let i, j, w ∈ Za with i, j different from each other. When an invertible function f : Za → Za is…

A: Given: i, j, w ∈ Za where i and j are different. Find: Pr[f(j) = w | f(i) = w]?

Q: t-SNE tries to minimize the divergence between the probability distributions of neighbors in…

A: Given question are true or false question so we provide both true and false explanation.

Q: Let S = {S1, S2, .., SN} be a sample space. Compute the entropy of each of the following probability…

A: i) Entropy of the S N=4, P{S} = {0.5, 0.25, 0.125, 0.125} H = = 0.5 log2(1/0.5) +…

Q: If L=xyzy where x,y,z e (0,1)*, then L is CFL or regular? Explain with proper justification.

A: Given language is, L=xyzy where x,y,z belongs to (0,1)*. A language is said to be Context free if…

Q: Given functions f:R → R and g: R → R. Suppose that go f turns out as go f(x) = (x2 + 7]. Identify…

A: f:R→R f(x)=x2+2 g:R→R g(x)=x−1x fog(x)=f(g(x)) =f(x−1x) =(x−1x)2+2 =x2−2x+1x2+2…

Q: Design a greedy algorithm for this problem and find how long it will take to cross the bridge by…

A: The current scenario here is to solve the bridge crossing puzzle .Here we are going to use a greedy…

Q: Consider the same house rent prediction problem where you are supposed to predict price of a house…

A: The solution to the above question is:

Q: Prove that I(X; Y |Z) ≥ I(X; Y ) . Note: X, Y, and Z are random variables. X and Z are…

A: The question is asking to prove that the conditional mutual information I(X; Y |Z) is greater than…

Q: X = { ⟨Y⟩ | Y is a DFA and for every s in L(Y), ? = ab where a = b}. Show that X is decidable.

A: According to the question, we have to Express problem as a language and show that it is decidable.…

Q: Let F be the set of all functions of the form f : N {0,1}. Also, let G be the set of all functions…

Q: Let i, j ∈ Za and w, x ∈ Zb with i, j different from each other and w, x different from each other.…

Q: Question 3 The discrete Laplacian of a function of two variables can be defined as V²f(x, y) = ÷Lf(x…

A: Note: Answering in python as no language is mentioned Input : 3 x 3 matrix Output : 2D Laplacian…

Q: S = AU and the intersection of any pair of these sets is the empty set. and an event E. Suppose we…

A: Ans)

Q: Use the rbinom() function to generate a random sample of size N = 50 from the bino- mial…

A: Algorithm: Start Set v=rbinom(n=6,size=50,prob=0.3) Print v Stop

Q: It is known that a natural law obeys the quadratic relationship y = ax". What is the best line of…

A: ANSWER:

Question

Using the law of total probabilty
Suppose we have a sample space S and two events A and B such that
S = AUB and AnB= 0
and an event E,
Suppose we have the following results:
P(A) = 1/3
P(B) = 2/3
P (E|A) = 1
P(E|B) = 0
What is P(E) ?
Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by
cancelling factors common to the numerator and denominator but you do not need to do this.

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

Learn more about

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

Similar questions

Given the following Truth Table: Inputs A Outputs B Y 00 01 10 11 1. Construct a K-Map on Scrap Paper 2. Perform Grouping on Scrap Paper 3. Give the SIMPLEST Boolean Expression for x in the answer box below. Y= X X 1 1 4. Give sum of minterms and sum of don't cares. Σm( )+ Σd( Should you have an empty set please answer with N/A
A discrete random variable X with the range (i.e. the set of all possible values) Rx = {0, 1, 2, 3,... } has probability mass function f(x; 0) = -0.0 e- a! x = 0, 1, 2, 3,... where is an unknown parameter. We want to find maximum likelihood estimate MLE of the parameter based on a sample (x1, x2,...,xn)? To do that, we find the likelihood function n L(0) = L(0; x1, . . ., x n ) = II ƒ (xi ; 0) · = i=1 = i=1 n Oxi e 0x1 xi! e-o 0x2 e-o Өх x2! xn! xi! -по x₁! =en. ΑΣ 12 Then, the log-likelihood function is In L(0) = ln L(0; x1,...,xn) = lne¯no . n II i=1 In en+In+In ( 1 · II 1 xi ! n =-10+(Σ Σπι)· .In In i=1 1 ·II xi! To find Ô MLE (the maximum likelihood estimator of 0), we maximize In L(0) while thinking of it as a function of only, i.e. treating xi's as given constants, and thus, treating the last term In ( 1 I_! as a constant. Eventually, what do we get as the maximum likelihood estimator MLE of the parameter 0?
Write a program in Scilab that samples f (x )=3e^−x sinx at x=0,1,2,3,4,5 and then, on the same graph, plots nearest-neighbor, linear and spline interpolations of these data using the interp1 function. The interpolation plots should have 200 samples uniformly spaced over 0≤x≤5 .
Computer Science P(A)=0,6 P(B)=0,4 P(C)=0,3 P(D)=0,2 P(E)=0.1 P(AJD,E)=? find the solution using with under the bayesian network В с D E
4. Given a random variable w with den sity F(w) and a random variable p as the umiform im the interval (-71, +71) where wlP (two w and p are independent) R.V.S Suppose the stochastic process, xt) =a Cos (wt+P). meam a) show that xlt) is wss with zero and auto correlation equal R(E) = E (Coswr) j(wt+P) b) show that zt)=aé is also a Wss.
Conditional Probability How do I find P(A) and also P(B) given P(C) P(C') P(AlC) P(BlC) P(AlC') and P(BlC'). And how do I find out if P(A) and P(B) are independent?
Use rules of inference to show that if Vx(P(x) V Q(x)) and Vx((-P(x) A Q(x)) → R(x)) are true, then Vx(-R(x)– P(x)) is also true, where the domains of all quantifiers are the same.
= gcd(2a, a - b) = gcd(a + b, 2b). 9. Prove that gcd(a + b, a - b) Show your work! Justify each step.
P(M|D)P(D) given P(D|M) = solve the following p(M) а. Draw the probability tree for the situation. b. Draw the reverse tree for the situation.
Suppose for a random variable X that E(X) = 5 and Var(X) = 3 . What is E((x+3) 2) ?
Consider the doctor-patient problem. There is a Doctor's clinic which has one Doctor, one patient chair, and n chairs for waiting for patients if there are any to sit on the chair. If there is no patient, then the Doctor sleeps in his own chair. When a patient arrives, he has to wake up the Doctor. If there are many patients and the Doctor is treating a patient, then the remaining patients either wait if there are empty chairs in the waiting room or they leave if no chairs are empty. Write a solution (Algorithm / Pseudocode) using semaphores.
6. Consider a binary classification problem using 1-nearest neighbors with the Euclidean distance metric. We have N 1-dimensional training points x(1), x(2), . . . x(N ) and corresponding labelsy(1), y(2), . . . y(N ) with x(i ) ∈ R and y(i ) ∈ {0, 1}. Assume the points x(1), x(2), . . . x(N ) are in ascending order by value. If there are ties during the 1-NN algorithm, we break ties by choosing the labelcorresponding to the x(i ) with lower value.