is the attched question any of the following : - Set Properties - Probability axioms- Conditional probability and independence events - law of total probability -bayes theorem 1. Problem 2.8 from the textbookOn a given day, casting of concrete structural elements at a construction projectdepends on the availability of material. The required material may be produced atthe job site or delivered from a premixed concrete supplier. However, it is notalways certain that these sources of material will be available. Furthermore,whenever it rains at the site, casting cannot be performed. On a given day, definethe following events:E₁ there will be no rainE2 production of concrete material at job site is feasibleE3= supply of premixed concrete is availableThe following are their probabilities that are known:P(E₁) = 0.8; P(E₂) = 0.7; P(E3) = 0.95; and P (E3|E₂) = 0.6E2and E3 are statistically independent of E₁.(a) Identify the following events in term of E₁, E2 and E3:A= casting of concrete elements can be performed on a given day.B= casting of concrete elements cannot be performed on a given day.(b) Determine the probability of event B.(c) If production of concrete material at the job site is not feasible, what is theprobability that casting of concrete elements can still be performed on a givenday?

Answered: Image /qna-images/answer/590ec19f-4316-417d-908f-041a9dffabb0.jpg

. Problem 2.8 from the textbook On a given day, casting of concrete structural elements at a construction project depends on the availability of material. The required material may be produced at the job site or delivered from a premixed concrete supplier. However, it is not always certain that these sources of material will be available. Furthermore, whenever it rains at the site, casting cannot be performed. On a given day, define the following events: E₁= there will be no rain E₂= production of concrete material at job site is feasible E3= supply of premixed concrete is available The following are their probabilities that are known: P(E₁) = 0.8; P(E₂) = 0.7; P(E3) = 0.95; and P (E3|E₂) = = 0.6 E₂and Eĝare statistically independent of E₁. (a) Identify the following events in term of E₁, E2 and E3: A= casting of concrete elements can be performed on a given day. B= casting of concrete elements cannot be performed on a given day.

. Problem 2.8 from the textbook On a given day, casting of concrete structural elements at a construction project depends on the availability of material. The required material may be produced at the job site or delivered from a premixed concrete supplier. However, it is not always certain that these sources of material will be available. Furthermore, whenever it rains at the site, casting cannot be performed. On a given day, define the following events: E₁= there will be no rain E₂= production of concrete material at job site is feasible E3= supply of premixed concrete is available The following are their probabilities that are known: P(E₁) = 0.8; P(E₂) = 0.7; P(E3) = 0.95; and P (E3|E₂) = = 0.6 E₂and Eĝare statistically independent of E₁. (a) Identify the following events in term of E₁, E2 and E3: A= casting of concrete elements can be performed on a given day. B= casting of concrete elements cannot be performed on a given day.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

In Vancouver, Canada the probability of rain during a fall-winter day (FW) is 0.58, and during a spring- summer day (SS) the probability of rain is 0.25. For this problem, consider the probability of a day being either fall-winter (FW) or spring-summer (SS) in Vancouver as equal (0.5) during the year. Use this information to fill out the following probability tree; for each number on the tree branches or end points, write the corresponding probability for that branch or end point on the answer sheet: seasons SS (17) FW (18) weather not rainy (19) rainy (20) not rainy (21) rainy (22) combination SS & not raining (23) SS & rainy (24) FW & not rainy (25) FW & rainy (26) 27) On any given day of the whole year, what is the probability of it being rainy in Vancouver? 28) On any given day of the whole year, what is the probability of it not being rainy in Vancouver? 29) What is the name for the type of probabilities that are used in the second column of branches (weather) of this probability…
Could you please explain to me in the image the reasoning behind the answer? Thank you
Two fair six-sided dice are rolled. Find the conditional probability of the event that the sum is six, given that the first die is odd. Are the two events independent?
Discrete Probability: Four dice are thrown, what's the probability that: a) None of them fall higher than three? b) None of them fall higher than four? c) That four is the highest number thrown?
Two fair six-sided dice are rolled. Let A = the event that the dice add to 6, and let C = the event that the dice show the same number. Find P(CIA) and P(C JA') P(CIA)= P(CIA) = (Simplify your answer.) (Simplify your answer)
A) what is the expected total number of staff (waiters and chefs) that will show up on any given day? B) what is the probability that three waiters will show up on any given day? C) what is the probaility that two chefs will show up on any given day?
Determine whether the event described are independent or dependent. Then find the probability of the event Randomly drawing and immediately eating three red M&Ms in a row from a bag that contains 10 red M&Ms out of 30 M&Ms total
You have to show all work to receive credit and probabilities must be written properly. For example: P(_________) = work = value 1.) If you pick a card from a well shuffled deck find the probability that, you get a face card or a spade. 2.) What is the probability of getting exactly one boy in three births. 3.) Of 1037 people who came into a blood bank to give blood, 330 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
Dependent and Independent Events two-way table Pathology Pediatrics Psychiatry Male 2175 850 1325 4350 Female 2325 1850 475 4650 4500 2700 1800 9000 Find each of the following conditional probabilities a) Are the events E = 'Female' and F = 'Pathology' dependent or independent? Explain why. b) Are the events F = 'Male' and G = 'Pediatrics' dependent or independent? Explain why.
Theoretical probabilities are A. Relative frequency at which an event happens after infinitely many repetitions. B. relative frequencies which an event happens after a finite numbers of repetitions. C. long-run relative frequencies. D. Short-run relative frequencies. E. Both A and C F. Both B and D
The probabilities are 0.36, 0.21, 0.32, and 0.11, respectively, that a delegate to a certain convention arrived by air, bus, automobile, or train. What is the probability that among 13 delegates randomly selected at this convention, 5 arrived by air, 4 arrived by bus, 1 arrived by automobile, and 3 arrived by train? The probability is (Round to four decimal places as needed)
Please can you help to solve this question into details for me please? I am really stuck in this class so your detailed explanation will be greatly appreciated. Thank you. Teams A and B play games until one of the teams has won two times. For each game, Team A winswith probability p. Assume the games are independent of one another.(a) What is the expected number of games to be played?(b) For what value of p is the answer to part (a) maximized?