Certainly! Here's a transcription and explanation of the text in the image suitable for an educational website.---**Unit #2 (Chapters 3-4)****Matching Section**1. **Experiment**2. **Outcome**3. **Sample Space**4. **Event**5. **Tree Diagram**6. **Theoretical**7. **Empirical**8. **Subjective**9. **Complement**10. **Conditional**11. **Independent Events**12. **Dependent Events**13. **Mutually Exclusive**14. **Random Variable**15. **Discrete**16. **Continuous****Probability Equations and Definitions**- P(A or B) = P(A) + P(B) - P(A and B)**Descriptions**a. The Addition Rule for P(A or B) for non-mutually exclusive events.b. P(E) = (Number of Outcomes in E) / (Total Number of Outcomes in the Sample Space) is _______ Probabilityc. The occurrence of one of the events does not affect the probability of the other eventd. The set of all possible outcomes of a probability experimente. A ______ probability is the probability of an event occurring, given that another event has already occurred.f. A subset of the sample spaceg. An action, or trial, through which specific results (counts, measurements, or responses) are obtainedh. The result of a single trial in a probability experimenti. Events A and B are ______ events if they cannot occur at the same timej. ______ Probability is based on observations obtained from experimentsk. The ______ of Event E is the set of all outcomes in a sample space that are not included in event El. ______ Probabilities are based on intuition, educated guesses, and estimatesm. The occurrence of one of the events affects the probability of the occurrence of the other eventn. A visual display of the outcomes of a probability experiment by using branches that originate from a starting pointo. Mean of a discrete probability distributionp. The probability of exactly x success in n trials of a binomial experimentq. Variance of a discrete probability distributionr. Population parameter of a binomial distribution for the means. A type of random variable with an uncountable number of outcomest. Standard Deviation of a discrete probability distributionu. Represents a value associated with each outcome

1) Experiment is an activity that yields outcome or result Option (g): An action or a trail through…

1. Matching a. The Addition Rule for P(A or B) for non-mutually exclusive events. b. P(E)= (Number of Outcomes in EV(Total Number of Outcomes in the Sample Space is The occurrence of one of the events does not affect the probability of the other event Experiment Outcome Probability с. Sample Space Event d. The set of all possible outcomes of a probability experiment Tree Diagram probability is the probability of an event occurring, given the е. another event has already occurred. Theoretical f. A subset of the sample space g. An action, or trial, through which specific results (counts, measurements, or responses) are obtained K. The result of a single trial in a probability experịment Empirical Subjective K Complement EuenteA R ore Quente if they cannot occur at the same tim

1. Matching a. The Addition Rule for P(A or B) for non-mutually exclusive events. b. P(E)= (Number of Outcomes in EV(Total Number of Outcomes in the Sample Space is The occurrence of one of the events does not affect the probability of the other event Experiment Outcome Probability с. Sample Space Event d. The set of all possible outcomes of a probability experiment Tree Diagram probability is the probability of an event occurring, given the е. another event has already occurred. Theoretical f. A subset of the sample space g. An action, or trial, through which specific results (counts, measurements, or responses) are obtained K. The result of a single trial in a probability experịment Empirical Subjective K Complement EuenteA R ore Quente if they cannot occur at the same tim

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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A probability experiment is conducted in which the sample space of the experiment is S= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, event F = {3, 6, 7}, and event G = {9, 10, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. %3D List the outcomes in F or G. Choose the correct answer below. О А. For G%3 {3, 6, 7, 9, 10, 12} B. For G= {3, 6, 7} C. For G= {9, 10, 12} D. For G= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Find P(F or G) by counting the number of outcomes in F or G. P(F or G) = (Type an integer or a simplified fraction.) Determine P(F or G) using the general addition rule. P(F or G) = (Type an integer or a simplified fraction.) %D
Conditional Probability outcome of one event depends on а. another Experiment b. another condition С. all answers d. another event
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Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's grade (freshman (F), sophmore (So), junior (J), senior (Se)) and gender (male (M), female (F)) Identify the sample space. O A. {FM, FF, SOM, SoF, JM, JF, SeM, SeF} B. {FM, FF, FJ, SOM, SoF, SoJ, JM, JF, JJ} C. {FM, FF, SOM, SoF, JM, JF, SeM, SeF, SoM, SoF} D. {FM, FF, SOM, SoF, JM, JF} There are Choose the correct tree diagram below. O A. outcomes in the sample space. O C. F So F J So Se M F M F M F M F M F So Se M F M F M F M F B. D. F So M F J M F F So J J M F J M F M F M F
6.1 : Answer
Assume that there are 4 white, 2 black and 3 red balls in a bowl. Two balls selected as randomly;a. If these selected balls assumed to be White and Black, what are the probabilities for all number of white and black ball pairsb. What is the general probability function for this experiment?c. What is marginal probability function for “white” balls?
6. Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the probability distribution of X.
S5.2. Only 2% of the items produced on a new machine are defective. Assume that two parts produced on the machine are selected randomly and you are interested in the number of defective parts.a) Draw a tree diagram showing this as a two-step experiment.b) Build the probability distribution of X.
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The probability of 6 P events when N = 10 and P = .7 is the same as 4 Q events if Q=.3 and N=10. a. False O b. True O c. Cannot say
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