Question

Suppose events A,B,C,D are mutually independent. Show that events AB and CD are independent. Justify each...

Suppose events A,B,C,D are mutually independent. Show that events AB and CD are independent. Justify each step from the definition of mutual independence.

Homework Answers

Answer #1

TOPIC:Independent events.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) Let A, B and C be mutually independent events. Show that C and A ∪...
(a) Let A, B and C be mutually independent events. Show that C and A ∪ B are independent. (b) A box contains 4 cards numbered 1 to 4 respectively. Two cards are chosen successively and with replacement from the box and their numbers are noted. Consider the following events: D = “the sum of the two numbers drawn is even”, and E = “the first number drawn is even”. i). Find P(D) and P(E). ii). Determine if D and...
Let A and B be independent events of some sample space. Using the definition of independence...
Let A and B be independent events of some sample space. Using the definition of independence P(AB) = P(A)P(B), prove that the following events are also independent: (a) A and Bc (b) Ac and B (c) Ac and Bc
Prove If segment AB = segment CD, then {A,B}={C,D}.
Prove If segment AB = segment CD, then {A,B}={C,D}.
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!
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.
Given F = AB′D′ + A′B + A′C + CD. (a) Use a Karnaugh map to...
Given F = AB′D′ + A′B + A′C + CD. (a) Use a Karnaugh map to find the maxterm expression for F (express your answer in both decimal and algebric notation). (b) Use a Karnaugh map to find the minimum sum-of-products form for F ′.
determine where events b and c are independent, mutually exclusive both or neither. P(B) = 0.56...
determine where events b and c are independent, mutually exclusive both or neither. P(B) = 0.56 P(B and C) =0.12 P(C)=0.23
Discuss the concepts of mutually exclusive events and independent events. List several examples of each type...
Discuss the concepts of mutually exclusive events and independent events. List several examples of each type of event from everyday life. If A and B are mutually exclusive events, does it follow that A and B cannot be independent events? Give an example to demonstrate your answer. Hint: Discuss an election where only one person can win the election. Let A be the event that party A's candidate wins, and let B be the event that party B's candidate wins....
If A and B are matrices and the columns of AB are independent, show that the...
If A and B are matrices and the columns of AB are independent, show that the columns of B are independent.
Suppose that A and B are two events in a sample space S with P(B)=0.04, P(A...
Suppose that A and B are two events in a sample space S with P(B)=0.04, P(A n B)=0.03 and P(A u B) =0.46 a) what is P(B) complement b)what is P(A) c)what is P( AUB) complement d)what is P(A/B) e)what is P(A complement n B) f)Are two events A and B independent? justify your answer. g) Are two events A and B mutually exclusive? Justify your answer.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT