Question

(a) Suppose A, B and D are sets with the following properties: A ∩ B =...

(a) Suppose A, B and D are sets with the following properties:
A ∩ B = A,     B ∩ D = D        ,   ( Ac ∪ Dc)c = ∅
    Draw a venn diagram for these sets and hence shade the region
                                                      ( Ac \ Bc) ∩ Dc    
(b)   Given that P(A U B) = k, P( A ) = 0.4, P( B ) = 0.2, determine the value of k if
      (i)    A and B are independent. (ii)   A and B are mutually exclusive. (iii) B is contained in A.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

thank you

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) Suppose A, B and D are sets with the following properties: A ∩ B =...
(a) Suppose A, B and D are sets with the following properties: A ∩ B = A,     B ∩ D = D        ,   ( Ac ∪ Dc)c = ∅     Draw a venn diagram for these sets and hence shade the region                                                       ( Ac \ Bc) ∩ Dc     (b)   Given that P(A U B) = k, P( A ) = 0.4, P( B ) = 0.2, determine the value of k if       (i)    A and B are independent....
Let A and B represent events such that P(A) = 0.6, P(B) = 0.4, and P(A...
Let A and B represent events such that P(A) = 0.6, P(B) = 0.4, and P(A ∪ B) = 0.76. Compute: (a) P(A ∩ B) (b) P(Ac ∪ B) (c) P(A ∩ Bc ) (d) Are events A and B mutually exclusive? Are they independent? Explain by citing the definitions of mutual exclusivity and independence.
Let P[A] = P[B] = 1/3 and P[A ∩ B] = 1/10. Find the following: (a)...
Let P[A] = P[B] = 1/3 and P[A ∩ B] = 1/10. Find the following: (a) P[A ∪ Bc ] (b) P[Ac ∩ B] (c) P[Ac ∪ Bc ] Now, let P[A] = 0.38 and P[A ∪ B] = 0.84. (d) For what value of P[B] are A and B mutually exclusive? (e) For what value of P[B] are A and B independent?
3) Given the events A and B, and P (A) = 0.3, P (B) = .5...
3) Given the events A and B, and P (A) = 0.3, P (B) = .5 and P (A and B) = .1 Determine: a) P (A∪B) b) P (A∪Bc) c) P (A / B) Hint: make the Venn diagram 4) Given events A and B, and P (A) = 0.3, P (B) = .5 If the events are independent, determine: a) P (A∪B) b) P (A∩Bc) c) P ((A∩B) c) 5) If the events are mutually exclusive, determine: a)...
Consider events A, B, and C, with P(A) > P(B) > P(C) > 0. Events A...
Consider events A, B, and C, with P(A) > P(B) > P(C) > 0. Events A and B are mutually exclusive and collectively exhaustive. Events A and C are independent. (a) Can events C and B be mutually exclusive? Explain your reasoning. (Hint: You might find it helpful to draw a Venn diagram.) (b)  Are events B and C independent? Explain your reasoning.
answer ASAP (I ) Given the following assumptions : P is True, Q is False, R...
answer ASAP (I ) Given the following assumptions : P is True, Q is False, R is True Determine the final answer for the following propositions 1) P --> Q --> ~R 2) ( ~ P <---> ~ R ) V P 3) (P V Q V ) <---> R (II) Given the following sets A = { 1, 3, 5, 7, 9, 19, 29 }, B = { 1, 5, 3}, C = {7, 8, 14}, D = {7,8,...
Given two sets A and B, the intersection of these sets, denoted A ∩ B, is...
Given two sets A and B, the intersection of these sets, denoted A ∩ B, is the set containing the elements that are in both A and B. That is, A ∩ B = {x : x ∈ A and x ∈ B}. Two sets A and B are disjoint if they have no elements in common. That is, if A ∩ B = ∅. Given two sets A and B, the union of these sets, denoted A ∪ B,...
Suppose events A, B, and C are MUTUALLY INDEPENDENT and P(a) = 1/4, P(B) = 1/3,...
Suppose events A, B, and C are MUTUALLY INDEPENDENT and P(a) = 1/4, P(B) = 1/3, and P(C) =1/2 and N denotes the total number of events among A, B, C, that occur (a) Draw a venn diagram (b) What is the E(N) (c) What is E(N^2) (d) What is Cov(Ia,N) (e) Find P(N <= 2 | C) Thank you!
. Do the following problems: a. Find the sets A and B, if A – B...
. Do the following problems: a. Find the sets A and B, if A – B = {1, 5, 7, 8}, B – A = {2, 10} and A ꓵ B = {3, 6, 9}. b. Draw a Venn Diagram for the Symmetric Difference of the sets A and B. c. Find and list all the partitions of S = {a, b, c, d, e}.
Among 60- to 65-year old men, 31% are smoker, 15% have lung disease, and 12% are...
Among 60- to 65-year old men, 31% are smoker, 15% have lung disease, and 12% are both smoker and have lung disease. Let A be the event of being smoker and B be the event of having lung disease. (a) What is the probability that a randomly selected 60- to 65-year old men either a smoker or has lung disease? (b) What is the probability that a randomly selected smoker has lung disease? (c) Are smoking and having lung disease...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT