Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22. a) Suppose A and B are independent, find Pr(A U B). b) Suppose instead A and B are mutually exclusive, find Pr(A U B). c) Again, suppose A and B are mutually exclusive, find P(A|B).

Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22. a) Suppose A and B are independent, find Pr(A U B). b) Suppose instead A and B are mutually exclusive, find Pr(A U B). c) Again, suppose A and B are mutually exclusive, find P(A|B).

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

Related questions

Q: Let A, B and C be independent events. Show that: P(A ∪ B|C) = P(A|C)P(B|C) When this condition…

A: It seems that the problem is incorrect. It should be P(A ∩ B|C) = P(A|C)P(B|C) instead of P(A ∪ B|C)…

Q: 7. If A and B are independent events, then P(A and B)) equals a. P(A) + P(B|A). b. P(A) ( P(B).…

A: GivenA and B are independent events. Any two events A, B are independent events if occurrence of one…

Q: a) Given events A, B, and C with their respective probabilities, P(A) = 0.30, P(B) = 0.40 and P(C) =…

A: As per bartleby guidelines we can solve only first question and rest can be reposted

Q: K Rachel is flying from Boston to Denver with a connection in Chicago. The probability her first…

A: Independent Events: Two events are said to be independent when the occurrence of one event does not…

Q: Let A and B be two events such that P(A)3D0.9, P(B)-D0.5, and P (A U B) =0.6. Find: a) P(AnB) b)…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive? 1) Yes,…

Q: A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after the other,…

A: Given info:A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after…

Q: Andy and Bev are playing a game. The game consists of three points. On each point P(Andy wins)=0.4…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Let A and B be events with P(AUB) = 3/4, P(A ́) = 2/3 and P(A ∩ B) = 1/4, find a) P(A) b) P(B) c)…

A: To find a) P(A) b) P(B) c) P(A ∩ B ́)

Q: If two events, A and B,

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Rebecca is flying from Boston to Denver with a connection in Chicago. The probability her first…

A: Given Information: The probability that flight leaves on time = 0.15 The probability that luggage…

Q: It was found that 33% of all diners order vegan meals and that 90% of all diners are undergraduate…

A: The following information has been given: Let us consider "V" denotes the event diner orders a…

Q: Let us have events/sets A and B such that P(A)=0.3 and P(B)=0.9. Can A and B be mutually…

A: Let us have events/sets A and B such that P(A)=0.3 and P(B)=0.9.

Q: iven that P(A) = 2/3 , P(B) = 1⁄2 , P(A ∩ B) = 1/3 and P(A ∪ B) = 5/6, state whether each of the…

Q: Q2) A bag contains a total of 9 marbles of which 6 are red and 3 are blue. You draw 3 marbles with…

A: Number of total marbles in the bag are 9. The number of red marble was 6. The number of blue marble…

Q: Show that if events A and B obey the multiplication rule, P(A and B) = P(A) P(B), then A and the…

A: It is given that A and B follows the rule P(A∩B)=P(A)·P(B) that means the events A and B are…

Q: Let's define two events A and B where P(A)=0.8 and P(B)=0.4. If P(A ∪ B)=1, what is P(Ac ∪ Bc)? 0.7…

Q: A and B are independent events, if P(A)=-,P(B)=0.4, then P(4 UB) is: a) 0.7 b) 0.9 c) 0.5 d) 0.4 e)…

Q: Given two events A and B , state whether each of the following can be possible or not a) P(A) P(A)…

A: The union of two events is the occurrence of either of them or at least one of them. The…

Q: Let A, B and D be events. Show that p(A ∪ B|D) = P(A|D) + P(B|D) − ?(A ∩ B|D).

Q: We have two events, A and B. P(A) = 1/2 and P(B) = 1/3. Hint: Draw Venn diagrams to help you think…

Q: If A and 8 are independent events and P(B) = and P(AB) = then P(A) is: P(AB) = P(A) P(B) P(B) = 1 11…

A: Given that A and B are independent events such that P(B)=3/4 P(A∩B)=1/2 We have to find P(A)

Q: 7. A survey was made among 100 graduates to report on their employment status. The sample comprises…

A: It is given that the sample comprises 50 male and 50 female graduates. Of which 60 are unemployed.…

Q: A married couple wants to enjoy the weather of hill stations at Murree and Abbottabad. The…

A: Let the events of enjoying weather at Murree and Abbottabad be M and A. PM=0.5,PA=0.12 Since the…

Q: Your friend tells you that when rolling two dice, P(2 sixes) = P(six) x P(six). Your friend is...…

A: Given that When rolling two dice is. When six and six are independent events then P(2six )=…

Q: 8. Making a left and a right turn at the same time are: A. independent events B. mutually exclusive…

A: Sol:- The correct option is D, neither independent nor mutually exclusive.

Q: P and Q are two events of an experiment, E.The probability that P occurs when E has occurred is 0.2…

Q: In a box 52 playing cards are there. Three events X, Y, and Z happen as follows: Event X is defined…

Q: Two events A and B are such that P(A)=0.25, P(B)=0.4, and P(AUB)=0.5. Draw a Venn diagram to…

A: Venn diagram is the diagrammatic representation of the different sets. If there is a common in the…

Q: 6a. Supposed P(A) = .45, P(B) = .24, and events A and B are mutually exclusive. Find... a. P(A or…

Q: b) Given that A and B are independent events, show that A and B are also independent events.

Q: Let us have events/sets A and B such that P(A)=0.4 and P(B)=0.3. Is it possible for A and B be…

A: Mutually exclusive or disjoint events are events in probability theory that cannot occur…

Q: (D) If a variable has a Binomial distribution, then the number of possible outcomes is always two.…

A: We have given that two statement one is related to Binomial distribution and other is related to…

Q: Suppose that events A and B are independent; A and C are independent ; B and C are also independent.…

Q: Given P(A) = 0.28, P(B) = 0.98, and P(A or B) = 0.47, are events A and B mutually exclusive? 1) Yes,…

Question

Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22.

a) Suppose A and B are independent, find Pr(A U B).
b) Suppose instead A and B are mutually exclusive, find Pr(A U B).
c) Again, suppose A and B are mutually exclusive, find P(A|B).
d) Can the above events, A and B, be both independent and mutually exclusive from each other?

Explain why or why not.

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: State the provided information.

VIEW

Step 2: (a) Determine the required probability.

VIEW

Step 3: (b) Determine the required probability when the events are mutually exclusive.

VIEW

Step 4: (c) Determine the required conditional probability.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 24 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Two people, A and B, are competing for the control of a corporation. The probabilities that these two people will win are 0.7 and 0.3, respectively. If A wins, the probability of introducing a new product is 0.8; if B wins, the corresponding probability is 0.4. a) What is the probability that a new product will be introduced? b) If a new product is introduced, what is the probability that B won the competition?
Consider five mutually exclusive events, V, W, X, Y, and Z, respectively, where P(V) = 0.08, P(W) = 0.43, P(X) = 0.02, P(Y) = 0.41, and P(Z) = .05. What is P(W and X)?
2.2 3) For each situation below, determine whether the two events are dependent or independent. a) Flip a coin and then draw a card from a standard deck of 52 cards. b) Draw a marble from a bag; do not replace it; and then draw a 2nd marblę from the same bag. c) Get a raise at work and purchase a new car. d) Drive on ice and lose control of your car. e) Have a large shoe size and have a high IQ. f) Be a chain smoker and get lung cancer. g) Dad is left handed and son is left handed INTL 9 DII -> & %23 24 6. 4 2 y e
let A and B be two events in an outcome space M such that M = A U B, P (A) = 0.65 and P (B) = 0.75.Calculate P (A ∩ B)Are events A AND B independent?
of events A and B is given below. A A' Total B 50 25 75 B' 36 18 54 Total 86 43 129 Using the table above, answer the questions below A) What is P(A'|B)? B) What is P(B|A)? C) What is P(AUB)? D) Are the events A and B independent? Enter yes or no.
If E and F are two disjoint events in S with P(E) = 0.44 and P(F) = 0.21, find P(E ∪ F), P(EC), P(E ∩ F), P((E ∪ F)C), and P((E ∩ F)C). P(E ∪ F) P(EC) P(E ∩ F) P((E ∪ F)C) P((E ∩ F)C)
Given P(A)= 0.7 and P( B) =0.2, do the following. For each answee, enter a number. a. If A and B are muttually exclusive events, compute P(A or B). b.If P(A and B) =0.1, compute P( A or B)
In tossing a fair coin twice, let the events A and B be defined as A: getting head on the first toss, B: getting head on the second toss. Prove that A and B are independent events.
An experiment consists of picking one of two urns at random and then selecting a ball from the urn and noting its color (black or white). Let A be the event “urn 1 is selected” and B the event “a black ball is observed.” Under what conditions are A and B independent?
Let (A,n 2 1) be independent events. Then a)E=1 P(A,) = 0 == P(A i.o.) = 1 b) En=1 P(A,)<=P(A, i.o.) = 0.