Q-3 If P(A) = 0.2, P(B) = 0.3, and P(A n B) = 0.1, determine the following probabilities:b. P(A U B)с. Р(А' n B)a. P(A' U B)d. P(A n B')e. P[(A U B)]

Given,P(A)=0.2P(B)=0.3P(A∩B)=0.1

Answered: Q-3 If P(A) = 0.2, P(B) = 0.3, and P(A…

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

Show that the probability that an event A or an event B or both will occur is given by the formula P(AUB) = P(A)+P(B)– P(AnB), and specialise this formula for the case (a) when A, B are mutually exclusive events and for the case (b) where A, B are statistically independent events. Find the probabilities P(A), P(B) when A, B are statistically independent events such that P(B) = 2P(A) and P(AU B) = 5/8.
If A and B are complements, then which of the following is true about the probability of B based on the probability of A? 1) P(B)=P(A)+1 2) P(B)=1-P(A) 3) P(B)=1/P(A) 4) P(B)=P(A)-1
The probability that Taylor Swift is Austin’s favorite music artist is .10. The probability that he will go to one of her concerts is .84. However, the probability that he does not like Taylor Swift and will go to a concert (because his wife makes him) is .75. a.) Write down the 3 pieces of information given in terms of probabilities involving event A (Taylor Swift is Austin’s favorite music artist) and event B (Austin will go to a Taylor Swift concert). b.) Summarize the above information using a probability table. c.) Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a Taylor Swift concert.
Consider two urns. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The second one contains 2 red balls and 5 green balls. You pick a ball at random from the first urn and place it into the second urn. Then you pick a ball at random from the second urn. What is the probability that this ball is red? O A. 5/14 О В. 6/15 О С. 5/16 D. 3/14 O E. not in the list given
104. Two sets of candidates are competing for the positions on the Board of Directors of a company. The probabilities that the first and the second sets will win are O-6 and 0-4 respectively. If the first set wins, the probability of introducing a new product is 0-8 and corresponding probability if the second set wins is 0-3. What is the probability that the product will be introduced ?
17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27
11. There are 28 apples in a box; 12 apples are red while the rest are green Find the probability that the apple picked randomly will be green. A. 즉 В. Т . : 3 C. 4 D. 득 7 7 12. 36 students want to audition in a singing contest. The number of girls is 15. What is the probability that the random student that will be selected is a girl? C. 5 1 A. 12 7 11 В. D. 12 12 12
Use the following information to answer Question 16 and Question 17. A bag has 4 yellow balls and 6 red balls only. One ball is chosen at random and not replaced. A second ball is then chosen at random. Find the probability that both balls are yellow. A. 2/15 В. 4/25 C. 2/5 D. 11/15 Question 17 Find the probability that both balls have the same colour. А. 2/15 В. 1/6 С. 3/10 Activate D. 7/15 Go to Set
7. What is the sum of all the probabilities of a simple event? А. О В. 1 C.2 D. 3 8. When a certain event is sure to happen, then what is its probability? A. O В. 1 С.2 D. 3 9. When a certain event will not really happen, then what is its probability? А. О В. 1 С. 2 D. 3 10. What is/are the possible value/s of the random variable X if X is the number of heads in tossing a coin? А. (0) В. (0,1) C. ( 0,1,2) D. (0,1,2,3) 11. What is/are the possible value/s of the random variable Y if Y is the number of fails in tossing two coins? А. (0) В. (0,1) C. (0,1,2) D. (0,1,2,3) 12. A fair coin is tossed, what is the probability that a head will appear? A. 1/4 В. 1/2 C. 1/3 D. 2
1. A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A and B1) b. If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A/B) c.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A1 and B) d.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A or B)
Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4 • e² + 0.3 -4z 0.3 e +0.4+ 0.3. e4z 1+0.3. e4z +0.3 · e-4z e4 0.3 ez +0.4 e² + 0.3. e4z
8 -The probability of an investor to invest his savings in foreign currency is 0.45, the probability of investing in gold is 0.42, and the probability of buying government bonds is 0.37. In addition, the probability of investing in foreign currency and gold together is 0.10, the probability of buying both foreign currency and government bonds is 0.12, the probability of buying both gold and government bonds is 0.20, and the probability of buying all three is 0.05. What is the probability that this investor will invest his savings in foreign currency or not in gold?a)0.65 B)0.05 NS)0.58 D)0.78 TO)0.35

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

Q-3 If P(A) = 0.2, P(B) = 0.3, and P(A n B) = 0.1, determine the following probabilities: b. P(A U B) с. Р(А' n B) a. P(A' U B) d. P(A n B') P[(A U BY] е.