In a certain probability experiment, events A and B are defined sothat P(A) = .3, P(AUB) = .6, and P(A U B) = .9. Find (a) P(B),(b) P(AN B), and (c) P(A°U B“).%3D%3D%3D

Given,P(A)=0.3P(A∪B)=0.6P(Ac∪B)=0.9

Answered: In a certain probability experiment,…

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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Let A be an event, such that P(A)=0.8141. Find the following probability: P(not A)= % (Round the answer to 2 decimals)
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residence), the average 220V is measured and the standard deviation is co ated as 4V. What is the least probability that the voltage of a randomly selected When the phase-neutral voltage value of the consumers fed from a transformer is measured from the vault point (you can assume the entry point to the consumer is between 202V and 232V? G0 100555- g160100555870479447 B A 60 100555- 14/25 3/4 60100555-987047 g160100555 - 9870479447 15/16 g160 0555 -987 8/9 60100555- g160100555 - 9870479447 TO 12/13 60100555-987047 g160100555 -987047944 g160100555 - 9870479447 g160100555 - 987047944 60100555-987047 g160100555 - 9870479447 g160100555 -987047944 60100555-9870475 g160100555 - 9870479447 g160100555 -987047944 60100555-9 g160100555 - 987047944 g160100555 - 987047944 g160100555 - 9 g160100555 987047944 g160100555 - 9
Question 6 Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 0. 1 2 3 6. 7 8. P(X = x) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? > Next Question W ere to search 80
Example 2.14. Show the CDF of the random variable X with the following pdf: fx(x) = l0.2(=)
QUESTION 1 The same scenario is used for all questions. New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition probabilities are appropriate O Probabilities of Parents Purchasing A or B From A To A To B O A B B Which of the following is the correct two period tree diagram for a customer who last purchased Brand A? O A 0.75 A 0.20 0.25 0.75 0.75 0.25 0.25 0.75 A B A B A 0.25 B 0.80 0.75 0.25 0.20 0.80 0.75 0.25 0.20 0.80 0.25 0.75 0.20 0.80 A B A B A B A B A B A B (0.25)(0.75)-0.1875 (0.25)(0.25) 0.0625 (0.75)(0.20) 0.1500 (0.75)(0.80)-0.6000 (0.75)(0.75)=0.5625 (0.75)(0.25)-0.1875 (0.25)(0.20)-0.0500 (0.25)(0.80)-0.2000 (0.25)(0.25) 0.0625 (0.25)(0.75)-0.1875 (0.75)(0.20) 0.1500 (0.75)(0.80) 0.6000
Question 9 The following table provides a probability distribution for the random variable x. f(x) 0.2 4 0.3 6. 0.5 What is the expected value of E(x)? Keep one decimal places of your answer. A Moving to another question will save this response.
0.10.20.40.5
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.

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In a certain probability experiment, events A and B are defined so that P(A) = .3, P(AU B) = .6, and P(AU B) = .9. Find (a) P(B), (b) P(AN B), and (c) P(AªU B°). %3D