11. Given two events, A and B. Find the following if P(A)=0.7, P(B)=0.5, and P(A U B)=0.9.Complete a Venn diagram before answering.(a) P(ANB)(b) P((AUB)')(c) P(A/B)

Answered: Image /qna-images/answer/51ac7551-156c-47c2-a2ea-934057baaa9d.jpg

Answered: 1. Given two events, A and B. Find the…

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...

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One way to visualize possible events is to depict them in Venn diagram. For example, the diagram below can represent all possible birds observed at West Meadow Beach. Set A corresponds to songbirds (e.g., warblers, finches, sparrows, blackbirds, orioles, etc.), and set B to birds with red on their feathers (e.g., cardinals, red-winged blackbirds, ruby-throated hummingbird, etc.). Many songbirds also have red on their feathers (e.g., cardinals, red-winged blackbirds, robin), but there are birds with red feathers that are not songbirds (e.g., ruby-throated hummingbird). Hence, in this example, the intersection between set A and set B includes songbirds with red, and thus the probability that a bird seen at West Meadow Beach is a songbird with red somewhere on its feathers. We can use these sets to investigate the probability of drawing birds of particular characteristics from the universe of events. For example, the probability of drawing a songbird is represented by set A, while the…
8. Two dice are rolled. Let X = 1 if the dice come up doubles and let X = 0 otherwise. Let Y = 1 if the sum is 4, and let y = 0 otherwise. Let Z = 1 if the dice come up both doubles and with a sum of 4 (that is, double 2), and let Z = 0 otherwise.
3. Consider the given probablity P(a)=0.7 p(b)=0.8 p(aUb)=o.8 a) Find p(aUb) b) Venn diagram c) Find p(a/b) d) find p'(a'∩ b) e) find (b/a') f) events a and b are
9(D)
2. A number U is selected at random between 0 and 1. Let the events A and B be "U differs from 1/2 by more than 1/4" and "1-U is less than 1/2", respectively. Find the events An B, Ān B, AU B.
Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.
1. Events A and B are mutually exclusive with P(A) = 0.280 and P(A or B) = 0.740 a) P(B)= b) P(Not A)= c) P(A and B)=
Is the following variable discrete or continuous: The number of times a coin must be flipped until the first Tails is observed. Is the following variable discrete or continuous: The number of questions asked during a 1-hour review session.

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1. Given two events, A and B. Find the following if P(A)=0.7, P(B)=0.5, and P(A U B)=0.9. Complete a Venn diagram before answering. (a) P(ANB) (b) P((AUB)') (c) P(A/B)