One ball is drawn randomly from a bowl containing six balls numbered 1, 2, 3,4, 5and 6.Let A be the event that a 1 or2 or 4 is drawn. That is, A = {1,2,4).Let B be the event that a 1 or 3or 5 is drawn. That is, B = {1,3,5).Let C be the event that a 1 or 3 or 4 is drawn. That is, C (1,3,4).Are events A, B, and C pairwise independent? Are they mutually independent?

Answered: Image /qna-images/answer/d40237e2-cc3e-4f21-b623-e7107d320ac6.jpg

Answered: One ball is drawn randomly from a bowl…

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

Similar questions

15 IF A and B are independent events, prove that the events Ã and B, Ã and B; and A and B are also independent.
Q6. Dr. Lawrence has three boxes. Their contents are Box 1: 2 red balls and 4 white balls Box 2: 4 red balls and 2 white balls Box 3: 3 red balls and 3 white balls First, a box is selected, and then two balls are drawn at random from that box (without replacement). a. What is the probability that the selected both balls are of the same color. b. If the selected balls are of the same color, what is the probability that they are selected from box 2?
The contents of urns, I, II and III are as follows: 1 white, 2 black and 3 red balls; 2 white, 1 black and 1 red balls, and 4 white, 5 black and 3 red balls One urn is chosen at random and two balls drawn from it. They happen to be white and red. What is the probability that they come from urns I II or III
1. From a deck of 52 cards (Ace, 2, 3.......10, Jack, Queen, King; with each one havingclubs or flower, spade, heart and diamond). When a card is drawn, what is theprobability that the card is a(a) 7 (b) 7 of heart (c) heart (d) either 7 or heart2. What is the probability of getting a 2 or a 5 when a dice is rolled?3. Referring to the important health practices advocated by the California study, supposethat in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholicbeverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eatbetween meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52engage in all three of these bad health practices. If a member of this sneer class is selectedat random, find the probability that the studenta. smoke but does not drink alcoholic beverages;b. eats between meals and drinks alcoholic beverages but does not smoke;c. neither smokes nor eats between meals.
a) Show that for any three events A, B, and C, the probability that at least one of them occurs is P(A) + P(B) + P(C) - P(An B)- P(ANC) - P(BNC) + P(An BnC). b) Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(ANB) c) About 52% of the residents of Capricorn municipality are happy and 48% of the residents are not happy with the delivery service. A recent study showed that 75% of happy residents and 25% of the unhappy residents are in favour of keeping the mayor of the municipality. If resident is randomly selected from the municipality residents is found to favour the motion. What is the probability that this person is happy with the delivery service?
Suppose that in a large university, 40% of students work part time, 10% are part of one of the university's sports teams, and 5% both work part time and are part of one of the university's sports teams. Let W be the event that a student works part time, and V be the event that a student is part of one of the university's sports teams. Make sure all your answers are expressed in terms of the events W and V,. 4. А. What is the probability that a randomly selected student works part time or is a part of one of the university's sports teams? В. teams? What proportion of students do not work part time but are part of one of the university's sports С. Are W and V independent events? D. If a student works part time, what is the probability they are also part of one of the university's sports teams? Е. What proportion of students are not part of any of the university's sports teams and work part time?
A beach resort has 25 jet skis for guests to rent. Of these, 12 are two-person skis, 14 have turbo packs, and 7 are both for two persons and have turbo packs. Let T be the event that a jet ski, randomly chosen, is a two-person ski, and let P be the event that the ski has a turbo pack. A jet ski is chosen at random for rental. Find the probability of "The jet ski is for two persons but does not have turbo packs."

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS