In probability, which represents the *intersection* of the event A and the event B?- ○ P(B | A)- ○ P(A or B)- ○ P(sample space)- ○ P(A and B)- ○ P(A | B)

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Answered: In probability, which represents the…

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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Mutually exclusive versus independent The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male, and event B: student has blue eyes. Copy and complete the two-way table so that events A and B are mutually exclusive. Copy and complete the two-way table so that events A and B are independent. Copy and complete the two-way table so that events A and B are not mutually exclusive and not independent.
(d) Identify any unusual events. Explain. O A. The event in part (b) is unusual because its probability is less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. O c. The event in part (c) is unusual because its probability is less than 0.05. OD. There are no unusual events, because all of the probabilities are greater than 0.05.
Direction: Suppose that A and B are denote as event 1 and event 2 respectively and S denote as Sample Space, give explanation in the scenario below; What do you mean by “The union of the two events A and B, denoted by the symbol A U B” Explain.
Defective components: A lot of 11 components contains 3 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA . (b) Find PB|A . (c) Find PA and B . (d) Are A and B independent? Explain.
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A single card is selected from an ordinary deck of cards. The sample space is shown in the figure. Find the probabilities. (Enter the probabilities as fractions.) (a) P(seven and a jack)(b) P(seven or a jack)
1) Find the number of ways to arrange the word PROBABILITY
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is greater than 4". Let B be the event "the outcome is prime". Find P(A|B). Outcome Probability 1 0.034 2 0.109 0.099 4 0.313 0.081 6. 0.136 7 0.211 8 0.017 3.
The conditional probability of event A given event B has occurred is given by: * O P(A or B)/P(B). P(A and B)/P(A). O P(A and B)/P(B and A). O P(A and B)/P(B)
(a) Choices: 0.081, 0.174, 0.297, 0.035 (b) Choices: 0.07, 0.14, 0.17, 0.23
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Event D: Selecting a nine of clubs a. Identify the total number of outcomes in the sample space. type your answer... b. Find the number of outcomes in the event. type your answer... c. Find the probability. (type your answer as a fraction, x/x) type your answer... Previous %

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In probability, which represents the intersection of the event A and the event B? P(B | A) P(A or B) P(sample space) P(A and B) P(A | B)