Prove directly that P(E|F) = P(E|FG)P(G|F) + P(E|FGc)P(Gc|F)

Question:

Prove directly that
P(E|F) = P(E|FG)P(G|F) + P(E|FGc)P(Gc|F)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Oct 22, 2015 02:50 AM

See More Questions

Prove that if f, g Cc(Rn), then so are fg and af for any scalar a.
Suppose that fn f and gn g, as n , uniformly on some set E R. a) Prove that fn + gn f + g and fn f f, as n uniformly on E for all R. b) Prove that fngn fg pointwise on E. c) Prove that if...
f(x) = 2x + 3 and g(x) = -3x + 2. For the above function, use base point x0 = 1.0 and x = 0.1 to compute f and g. Find (fg) (the change in the product) by computing f(x0 + x)g(x0 + x) - f(x0)g(x0)....
Morse test is applicable only for SI engines: True/False andJustify
The text claims that a company or organization might actually benefit when one of its employees uses statistics in correctly. How can this be?
The 8-oz ball is supported by the vertical stream of fresh water which issues from the 1/2-in.-diameter nozzle with a velocity of 35 ft /sec. Calculate the height h of the ball above the nozzle....
On 1 July 2023, Yananga Ltd, an Australian company that has A$ as its functional currency, enters a loan agreement with a lender in Hong Kong to borrow HK$$700$000 and uses the funds to acquire...
Fieval Leasing Company signs an agreement on January 1, 2010, to lease equipment to Reid Company. The following information relates to this agreement. 1. The term of the non-cancelable lease is 6...
15. 16. What is the final product (major) 'A' in the given reaction? CH3 OH CH CH3 HCI + 'A' (major product) CH3 CH3 Cl CH (B) CH3 CH2-CH3 (A) CH3 CH (C) shiks CH=CH2 (D) Which of the following...
Determine the moment of inertia for the shaded area about the x axis. -y? = 1 - x 1 m 1 m 1 m -
A round-robin tournament of n contestants is a tournament in which each of the pairs of contestants play each other exactly once, with the outcome of any play being that one of the contestants wins...
Extend the definition of conditional independence to more than 2 events.
Here's your scenario... You are a news fiend and reporter for a top notch newspaper or popular news show. Your assignment is to search for a contemporary news article to critique so you can expose...
d Calculate[r(t) dt d and[ri(t) r(t)] first by differentiating dt the product directly and then by applying the formulas d dt r(t)] ri(t) r(t)] and dr dr [ri(t) r(t)] = r(t) + r(t) and dt dt d dt ....
5. What is the maximum weight if the tension in each cable is limited to Tallow= 450 N? B 2.5 W 1.5 m D 9 Y 2 m 0.5 m Figure HW2.3: HW 2 EP 3. 1.25 m I
What is an electrical submersible pump performance curve or ESP characteristics chart Define each parameter given on an ESP performance curve.
Find the equation of motion with respect to x. Submit the equivalent spring rate, equivalent translational mass, and equivalent damping constant. Pulley, mass moment of inertia Jo 00000 2r + 444
2. Consider the differential equation, shown below (it is known as Euler equation for steady, 2D, incompressible flow, with negligible gravity effects): u + v 1 POT Here, u and v are velocities in r-...
In Exercises 121124, determine whether each statement makes sense or does not make sense, and explain your reasoning. Because logarithms are exponents, the product, quotient, and power rules remind...
4. Jobe dy -Y 2 et by
Players 1, 2, 3 are playing a tournament. Two of these three players are randomly chosen to play a game in round one, with the winner then playing the remaining player in round two. The winner of...
Twelve percent of all U.S. households are in California. A total of 1.3 percent of all U.S. households earn more than $250,000 per year, while a total of 3.3 percent of all California households earn...
a. A gambler has a fair coin and a two-headed coin in his pocket. He selects one of the coins at random; when he flips it, it shows heads. What is the probability that it is the fair coin? b. Suppose...
Explain a typical structural engineering project shown in figure. Planning Preliminary structural design Load estimation Structural analysis Safety/serviceability Yes Construction No Revised...
What are the 4 specialties of structural engineering? Any resources for core principles of structural engineering?
what are the role of structural analysis in structural engineering? What is the difference between structural engineering and structural analysis?

Prove directly that P(E|F) = P(E|FG)P(G|F) + P(E|FGc)P(Gc|F)

Question:

Step by Step Answer:

PE F PEF PF PE FGPG F PEFG ...View the full answer

A First Course In Probability

Students also viewed these Statistics questions