Question: A number is selected at random from [-2,1]. A = {x>0}, B = {1x + 0.5| < 0.5, C = {x < -0.75} a.

A number is selected at random from [-2,1]. A = {x>0}, B

A number is selected at random from [-2,1]. A = {x>0}, B = {1x + 0.5| < 0.5, C = {x < -0.75} a. Find probabilities of A, B, ANB, ANC b. Find probabilities of AUB, AUC, and AUBUC directly by evaluating the sets and also by using the appropriate theorems

Step by Step Solution

★★★★★

3.35 Rating (142 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem we have to calculate probabilities based on the intervals defined by sets A B ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Banking Questions!

A card is selected at random from a standard deck of 52 playing cards. Find each probability. (a) Randomly selecting a club or a 3 (b) Randomly selecting a red suit or a king (c) Randomly selecting a...

A golf ball is selected at random from a golf bag. If the golf bag contains 9 Titleists, 8 Maxflis, and 3 Top-Flites, find the probability that the golf ball is: 1. A Titleist or Maxfli. 2. A Maxfli...

A jury of 12 people is selected at random from a group of 16 men and 18 women. What is the probability that the jury contains exactly 7 women? Suppose that the jury is selected at random from a group...

package hw2; /** * * A class that mimics how Java's String class behaves with a few minor changes. * See the documentation for each of the methods. * */ public class String { private char [] data;...

Given that P1A B2 = .4 and P1A B2 = .8, find P1B2. 3.100 From a production batch with 16 items, 8 items are randomly selected for quality assurance. In how many different ways can the sample be...

7. [-/1 Points] DETAILS HARMATHAP12 7.4.013.MI. MY NOTES ASK YOUR TEACHER Each of urns I and II has 5 red balls, 3 white balls, and 2 green balls. Urn III has 1 red ball, 1 white ball, and 8 green...

Please Help Me!! A bag contains 8 green marbles, 4 red marbles, and 3 blue marbles. Find the following probabilities. A. What is the probability that are marble selected at random is either red or...

Assume that a procedure yields a binomial distribution with n = 8 trials and a probability of success of p: 0 40 Use a binomial probability table to nd the probability that the number of successes x...

ect Question 1 0 / 10 pts Given the following probability distribution X 0 1 2 3 P(x) 0.4 0.3 0.2 0.1 Find the probabilities: (a) P("X is odd") (b) P("X 2 1"). O (a) 0.6 (b) 0.5 O (a) 0.4 (b) 0.3 O...

Please give step by step calculation GET GENUINE OFFICE Your license isn't genuine, and you may be a victim of software counterfeiting Aword interuption and keep your files safe with genuine Office...

The general ledger of the Karlin Company, a consulting company, at January 1, 2018, contained the following account balances: Account Title Debits Credits Cash 30,000 Accounts receivable 15,000...

4. a. Briefly discuss the prospects of renewable energies in Bangladesh. b. Mention the barriers to renewable energy in Bangladesh.

What would you like to learn? You just landed your dream job as a content creator at a local startup. It's your first week and your boss asks you to perform c content audlt to get acquainted with the...

let Y=TR with the kpology Ty={VCR: R-QC}Ure let A= (R-Q)x (GQ). consider the product topologyon XxY. Find Int CA), Bel(A). ExtcA), A'

let Y=TR with the kpology Ty={VCR: R-QCU}Ure let A= (R-Q)x (GQ). consider the product topologyon XxY. Find Int CA), Bel(A). ExtcA), A'

Start with the partial model in the file attached. Marvel Pence, CEO of Marvels Renovations, a custom building and repair company, is preparing documentation for a line of credit request from his...

How important is it to create your own authentic leadership voice? What are things you can do to help become an authentic leader?

Given an input voltage V, the output voltage of a half-wave rectifier is given Suppose the input V is the continuous uniform (-15,15) random variable. Find the PDF of W 10 V2 10.

In a variation on Example 12.10, we use the observation vector Y = Y (n) = [Y1 Y n ] ' to estimate X = X 1 . The 21-dimensional vector X has correlation matrix R X with i, jth element R X (i,j) =...

X and Y have the join PDF (a) What is fX|Y(x|y)? (c) What is the minimum mean square error of the estimate of X given Y == 0.5? 2 0Sa 0 otherwise. 1 a M (y), e* (0.5) = E [(X-XM (0.5))Y = 0.5] ,

Keiko arrived in Oshawa to study English at Durham College. She used travellers cheques totalling 1,000,000 to open a Canadian dollar bank account. What will her opening balance be if the bank...

How much will it cost in Canadian dollars to purchase 2000 pesos in Mexican currency at a bank that charges a 3.5% commission on the transaction? Use an exchange rate of C$1.00 = Mexican peso 11.87.

In April of 2007, Marielle bought 1200 shares of Yakamura Trading Co. on the Tokyo Stock Exchange at a price of 1150 per share. The exchange rate at the time was 105.04 per C$. She sold the stock for...