Question: Let A and B be two events, such that P(A)>0 a.) show P(B|A)+P(B'|A)=1 b.) Prove that is P(B|A)>P, then P(B'|A) < P(B') (use part a

Let A and B be two events, such that P(A)>0
a.) show P(B|A)+P(B'|A)=1
b.) Prove that is P(B|A)>P, then P(B'|A) < P(B') (use part a to solve part b)

Step by Step Solution

★★★★★

3.34 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Using the definition of conditional probability we see that PBA PBA ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Q:

SCENARIO-BASED DISCUSSION OF SWOT ANALYSIS Members of the team agree on the aim statement that you, as the DNP project manager, developed in Exercise 1 and they are ready to start developing the...

Q:

Let A and B be two events such that P((A B)C )= 0.6 and P(A B)=0.1. Let E be the event that either A or B but not both will occur. Find P(E|A B).

Q:

Let A and B be two events such that P(AC)=0.70P(AC)=0.70, P(B)=0.50P(B)=0.50, and P(AB)=0.60P(AB)=0.60. What is P(AB)P(AB)? Seleccione una: a. 0.15 b. 0.12 c. 0.28 d. 0.35 e. 0.20

Q:

Let A and B be two events defined on S. If the probability that at least one of them occurs is 0.3 and the probability that A occurs but B does not occur is 0.1, what is P (B)?

Q:

Problem2: A) Let A and B be two events such that: P(B) = 0.3, P(A UB) = 0.7. Answer to the following questions: 1) Compute P(A - B). 2) If P(An B) = 0.1, what is P(A) ? 3) Compute P[(An B) "]. 4)...

Q:

Let A and B be two events such that P(A)=0.605 and P(B)=0.265. Part I: We assume in this part (and in this part only) that 0.605 and 0.265 are independent a) What is P(AandB) ? Give your answer...

Q:

Problem2: A) Let A and B be two events such that: P(B) = 0.3, P(AUB) = 0.7. Answer to the following questions: 1) Compute P(A B). 2) If P(An B) = 0.1, what is P(A) ? 3) Compute P[(An B)c]. 4)...

Q:

Question 1: Two dice are rolled. Dene L119 following BUBBLE: A = "sumof two dice equals 4" B = "sum of two-dice equals 10\" C : "at least one of the dice shows a l" [a] I2pl5] List all the outcomes...

Q:

1. (a) For each one of the statements below say whether the statement is true or false, explaining your answer. i. Let A and B be two events such that P( A) > 0 and P(B) > 0. If it holds that P(A |...

Q:

Let M and N be two events such that P (M ) = 0.52 and P(N) = 0.30. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P(MU N), given that M and N are independent....

Q:

Let A and B be two events such that P(A)=0.415, P(B)=0.345 and P(AandB)=0.06. What is P(AorB)? Give your answer correct to 3 decimal places. What is the probability that the event A occurs if it is...

Q:

Write a college-level reflective essay based on your work or life experience. The essay must contain the correct number of subtopics and real-world experiences with sufficient examples of your own...

Q:

Draw direction arrows on the null clines for the Fitzhugh-Nagumo equations.

Q:

9 . 3 Portfolio Entry: Five Number Summary ~ Math Portfolio Entry ~ Take this problem and copy i t t o your Math Portfolio. Work out the problem and display your thinking. Refer t o the Math...

Q:

A tree is exactly 10 m tall. (a) What must be the total molarity of the solutes if sap rises to the top of the tree by osmotic pressure at 20 C? Assume the groundwater outside the tree is pure water...

Q:

Find the center and radius of the sphere that has (1, 2, 4) and (3, 4, 12) as endpoints of a diameter.

Q:

Bob and Alice are pulling their son Charlie on a sled. Alice is pulling the sled with a force of 60 N at an angle of 35? relative to the forward direction. Bob pulls the sled at an angle of 20?...

Q:

A system formed of methane(1) and a light oil(2) at 200 K and 30 bar consists of a vapor phase containing 95 mol-% methane and a liquid phase containing oil and dissolved methane. The fugacity of the...

Q:

Consider the truncated virial equation of state PV RT = 1+ B(T) V where B(T) is the second virial coefficient. Obtain the constraint on B(T) if the fluid is to be thermodynam- ically stable.

Q:

solve this D2L Chapter 13 - Homework - 202 x Question 14 - Chapter 13 - Hc x o Mail - Perla Palomo - Outlook X Dashboard X + - G go ezto.mheducation.com/ext/map/index.html?_con=con external_browser=0...

Q:

for 7 = 1,2. Prove that U(f.Gm) L(f. Gm) for m e N, oin

Q:

Suppose that fn is a sequence of functions convex on an interval I and that exists for each x I. Prove that f is convex on I. lim )

Q:

Let r > 0, (a, b) R2, f: Br(a, b) R, and suppose that the first-order partial derivatives fx and fy exist in Br(a, b) and are differentiable at (a, b). a) Set Î(h) = f(a + h, b + h) - f(a + h,...

Q:

show an emotion when they really dont feel it (simulation).

Q:

3. Describe the research evidence for the biological innateness of basic emotions.

Q:

This creates enormous potential for social chaos, which can easily occur if individuals are not coordinated well and relationships not organized systematically.