If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following probabilities:a) P(Αn Β)b) P(AU B) =.90c) P(A) =.6d) P(B).3e) P(AU B).90f) P(AN B) =||

Answered: Image /qna-images/answer/3a550e9e-8c7f-47b8-8913-1d65386398e4.jpg

Answered: If A and B are two mutually exclusive…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

In a B. Com. class 5% of the students are mischievous. Form a sample of dents caught at random find the probability that (i) none of them is tnievous, (ii) exactly two of them are mischievous and (iii) at least one of them is mischievous. 3 students caught at random find the probability that (i) none of them is CS Scanned with CamScanner
Suppose 90% of U.S. adults think social media is useful in daily life. Two adults were randomly selected, what's the probability that one think social media is useful, the other thinks not? a) (0.1)(0.1) b) (0.1)(0.9) c) (0.9)(0.9) d) (0.9)(0.1) x 2
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.
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.
The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probability that in this 30-minute period (a) more than 2 cars receive gas; (b) at most 4 cars receive gas; (C) 4 or more cars receive gas
Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is (a) What is the value of p? • (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?
Q13: If A and B are two events such that P(A) = p₁, P(B) = P2, P(ANB) = P3, then the probability that A occurs but B does not occur is: (a) P1 - P3 (b) P1 P2 (c) P1 - P2P3 (d) P1 — P1P2
Let A and B be mutually exclusive events, such that P(A) = 0.2371 and P(B) = 0.1133. Find the following probabilities: P(A and B)= P(A or B)= % (Round the answer to 2 decimals) % (Round the answer to 2 decimals)
Given events G and H: P(G) = 0.42; P(H) = 0.29; P(H AND G) = 0.11. A) Find P(H OR G). B)Find the probability of the complement of event (H AND G). C) Find the probability of the complement of event (H OR G)
Q5: The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker? (A) 5/8 (В) 1/2 (C) 1/5 (D) None of the above Q6: The probability that a person owns a microwave oven is 0.70, that a person owns a CD player is 0.26, and that person owns both a microwave and a CD player is 0.16, then the probability that a person owns a microwave or a CD player is (A) 0.5 (B) 0.182 (C) 0.8 (D) None of the above
Overall, Steve Dalkowski throws a strike with 17% of his pitches (that is, the probability that he throws a strike with any given pitch is .17). (a) In one game, Dalkowski throws 240 pitches. What is the probability that he throws exactly 40 strikes? (b) In one week, Dalkowski throws 400 pitches. What is the probability that he throws 80 or more strikes? Every day for eternity Dalkowski throws 100 pitches, and records the number of strikes. (c) Find the mean µ, and the standard deviation o, of the numbers (of strikes thrown on different days) that Dalkowski records.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following probabilities: a) P(AN B) = o b) P(AU B) = .90 с) Р(А) .6 d) P(В) .3 e) P(AU B) : ) P(AN B) = 0 .90