Question

b)a) Suppose A and B are events in a random experiment such that A ⊆ B....

b)a) Suppose A and B are events in a random experiment such that A ⊆ B.
Show that P(A|B) = P(A)
P(B)
and P(B|A) = 1. [8 Marks]
b) Suppose A and B are events in a random experiment. Show that
P(A|B) > P(A) if and only if P(B|A) > P(B).

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

Homework Answers

Answer #1

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 random experiment has sample space S = {a, b, c, d}. Suppose that P({c, d})...
A random experiment has sample space S = {a, b, c, d}. Suppose that P({c, d}) = 3/8, P({b, c}) = 6/8, and P({d}) = 1/8. Use the axioms of probability to find the probabilities of the elementary events.
Suppose A and B are two events such that 0< P(A)<1 and 0< P(B)<1. Show that...
Suppose A and B are two events such that 0< P(A)<1 and 0< P(B)<1. Show that if P(A|B) =P(A|Bc), then A and B are not mutually exclusive.
Consider two events A and B as an outcomes of a random process. Suppose that P(A)=50%...
Consider two events A and B as an outcomes of a random process. Suppose that P(A)=50% and P(B)=40%. i. A and B cannot be mutually exclusive. ii. A and B cannot be independent. 1. i is true, ii is false. 2. I is false, ii is true. 3. Both I and ii are true. 4. Both I and ii are false. 5. There’s no enough information to answer this question. Select right answer and explain/prove your choice.
1. Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) =...
1. Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B) a. 0.12 b. 0.3 c. 0.4 d. 0.70 2. Experiment: choosing a single ball from a bag which has equal number of red, green, blue, and white ball and then rolling a fair 6-sided die. a.) List the sample space. b.) What is the probability of drawing a green ball and even number? 2.
Suppose events A, B, C have the following probabilities: P(A|B) = 1 ／3 , P(C|B) =...
Suppose events A, B, C have the following probabilities: P(A|B) = 1 ／3 , P(C|B) = 23 ／45 , P(A ∩ C|B) = 11 ／45 . Given that B has occurred, a) Find the probability that only C has occurred. b) Find the probability that only A or only C has occurred, but not both. c) Find the probability that A or C has occurred.
1) Give an example for each of the following: a) A random experiment with finite space...
1) Give an example for each of the following: a) A random experiment with finite space of elementary events. b) A random experiment with infinite countable space of elementary events. c) A random experiment with continuous space of elementary events.
1. Suppose A and B are independent events with probabilities P(A) = 1/2 and P(B) =...
1. Suppose A and B are independent events with probabilities P(A) = 1/2 and P(B) = 1/3. Define random variables X and Y by X =Ia+Ib, Y=Ia-Ib, where Ia, Ib are indicator functions (a) What is the joint distribution of X and Y? (b) What is P(X less than 2, Y greater than or equal to zero), (c) Are X and Y independent, Justify
Suppose A and B are events such that P(A) = 0.54, P(B) = 0.38, and P(A...
Suppose A and B are events such that P(A) = 0.54, P(B) = 0.38, and P(A ∩ B) = 0.24. (a)   Compute: (i) P(A ∩ B^c)   (ii) P(A ∪ B)   (iii) P(A^c ∪ B)   (iv) P(A^c | B^c) (b)   Are events A and B disjoint? Justify your answer.
Show work, thank you! Suppose that A1, A2 and B are events where A1 and A2...
Show work, thank you! Suppose that A1, A2 and B are events where A1 and A2 are mutually exclusive events and P(A1) = .5, P(A2) = .5, P(B│A1) = .9, P(B│A2) = .2. Find P(A2│B) A. 0.90 B. 0.20 C. 0.50 D. 0.18
a. Suppose that A and B are two events with P(A)=0.1, P(B)=0.2, and P(A|B)=0.4. What is...
a. Suppose that A and B are two events with P(A)=0.1, P(B)=0.2, and P(A|B)=0.4. What is P(A ∪ B)? 10. b. Suppose that F and G are two events with P(F)=0.1, P(G)=0.3, and P(G|F)=0.5. What is P(F ∪ G)?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT