Question: Let A, B and C be any events of a sample space S. For each of the followingevents, give an expression and exhibit the Venn diagram by shading the regioncorresponding to the events. (Note: A, B and C are mutually exclusive events)a.) exactly none of the event's A, B and C occurb.) exactly one of the events A and B occursc.) Exactly both events B and C occursd.) exactly at least one of the events A and B occurse.) Only event A occurF.) A and B but not C occur

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider two events E and F. Explain in a sentence or two what it means for E and F to beindependent and what it means for E and F to be mutually exclusive.
Decide whether the following pairs of events are dependent or independent. A red and a green die are rolled. A is the event that the red die comes up even, and B is the event that the green die comes up even.
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…
A = event the die comes up even When one die is rolled, six outcomes are possible. These outcomes are those where the die shows B=event the die comes up 2 or more C= event the die comes up at most 3 D= event the die comes up 6 each value between 1 and 6. Are events A and B mutually exclusive? O A. Yes. These events do not share any common outcomes. O B. No. These events do not share any common outcomes. O C. No. At least the outcome where the die comes up 6 is common for these events. O D. Yes. At least the outcome where the die comes up 6 is common for these events.
Select all of the events that would be considered to be mutually exclusive events. O male and female O red cards and hearts hearts and spades dogs and cats O long hair and dogs O inside and outside
Decide whether the following pairs of events are dependent or independent C is the event that it rains more than 10 days in Chicago next June, and D is the event that it rains more than 15 days.
*21. A and B are events such that P(A) = 0.4, P(B)=0.5, and P(A & B) = 0.2. Answer each question and explain your reasoning. a. Are A and B mutually exclusive? b. Are A and B independent?
Which of the following statements is false? Two independent events cannot occur at the same time. Two complementary events cannot occur at the same time. Two disjoint events cannot occur at the same time.
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.
For the given pair of events, classify the two events as independent or dependent. Getting caught in traffic Spilling coffee in the car Choose the correct answer below. A. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. C. The two events are independent because the occurrence of one affects the probability of the occurrence of the other. D. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.
Fill in the blank. Events that are Events that are cannot occur at the same time. unusual cannot occur at the same time. independent double-counted disjoint

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