The accompanying tree diagram represents a two-stage experiment. (Let x = 0.3, y = 0.7, r = 0.7, s = 0.3, t = 0.4, and w = 0.6.) Use the diagram to find the following probabilities. (Round your answers to three decimal places.) (a) Find P(A) · P(D | A). (b) Find P(B) · P(D | B). (c) Find P(A | D).

The accompanying tree diagram represents a two-stage experiment. (Let x = 0.3, y = 0.7, r = 0.7, s = 0.3, t = 0.4, and w = 0.6.) Use the diagram to find the following probabilities. (Round your answers to three decimal places.) (a) Find P(A) · P(D | A). (b) Find P(B) · P(D | B). (c) Find P(A | D).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

#26). Please show how to solve
Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been arossina over $850 per day about 55% of the business days it is open. Estimate the probability that the store will aross over $850 for the following. (Round your answers to three decimal places. (a) at least 3 out of 5 business davs (b) at least 6 out of 10 business days (c) fewer than 5 out of 10 business days (d) fewer than 6 out of the next 20 business days (e) more than 17 out of the next 20 business days
Suppose we know that the probabilities P(A) = .5, P(B|A) = .3 and P(A or B) =.3. What is the value for P(A and B)? What is the value for P(B)?
If P (A) = 0.6, P (B) =0.5 and P (A U B) = 0.9, find the following probabilities: (a) P (ANB) (b) P (A/B)
Use the following probabilities to answer the question. Round to 4 decimal places.P(A)=0.54P(A)=0.54 , P(B)=0.41P(B)=0.41 , P(AandB)=0.05P(AandB)=0.05 .P(B∣A)=
Find P(A or B or C) for the given probabilities. P(A) = 0.34, P(B) = 0.25, P(C) = 0.16 P(A and B) = 0.11, P(A and C) = 0.03, P(B and C) = 0.07 P(A and B and C) = 0.01 P(A or B or C) =
You are playing a game of dice where it involves rolling three dice and betting on one of the six numbers that are on the dice. The game costs P80 to play. You win P160 if the number you bet appears on only one dice, P180 if on two dice and P320 if on all three. What is your expected profit from the game? Select one: O a.-P10.50 O b. P35.80 C. P23.25 d. P85.00 O e. -P63.25
#14 needed
Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% of all such components are defect-free. Components are independently selected and tested one by one. Let y denote the number of components that must be tested until a defect-free component is obtained.
P(A)=0.55,P(B)=0.58,P(B∪A)=0.86 Find the following probabilities. P(A∩B) = P(B|A) = P(A|B) =