5. Consider a bag of marbles, 19 of which are green, 25 of which are blue, and 6 of which are red.Moreover, suppose 9 of the green marbles are opaque, 5 of the blue marbles are opaque, and 3 ofthe red marbles are opaque, and the rest of the marbles are transparent. Suppose you draw onemarble from the bag and let G, B, and R be the events that the marble is green, blue, and red,respectively, and let O be the event that it is opaque.(a) Find P(RO).(b) Find P(R|Oº).(c) Find P(R).(d) Check whether R and O are independent.(e) Find P(BO).(f) Find P(OG).(g) Find P(BUGIO).

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Answered: Consider a bag of marbles, 19 of which…

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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If two events are mutually exclusive, then: A They cannot be complements. B) the events can occur at the same time They also could be complements. they are independent
If two events are mutually exclusive, then the following is true: a. They cannot be mutually exclusive. b. The events may occur concurrently. c. They could also be complementary. d. They are independent.
Prove
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.
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
In the city of Savannah, Georgia, 22% of young couples take wedding pictures along the Riverwalk (R), and 42% of young couples take wedding pictures in one of the many historical squares (S) throughout the city. However, only 14% of young couples take wedding pictures along the Riverwalk and in the squares. Are these two events independent of each other? Include the reason why or why not. A. The events aren't independent, because P(R) × P(S) ≠ P(P and S). B. The events are independent, because P(R) × P(S) ≠ P(P and S). C. The events aren't independent, because P(R) × P(S) = P(P and S). D. The events are independent, because P(R) × P(S) = P(P and S)
If P (not B) = 0.55, P (A ∪ B) = 0.75, and A and B are independent events, then find p (A)
Suppose there are exactly three states of weather: sunny, cloudy, or rainy. If it is sunny today, then the probability is 3/4 that it will be sunny tomorrow, 1/8 that it will be cloudy tomorrow, and 1/8 that it will be rainy. If it is cloudy today, then the probability is 1/2 that it will be sunny tomorrow, 1/4 that it will be cloudy tomorrow, and 1/4 that it will be rainy. If it is rainy today, then the probability is 1/4 that it will be sunny tomorrow, 1/2 that it will be cloudy tomorrow, and 1/4 that it will be rainy. cloudy is From this Markov model, for any given day the probability that it will be sunny is rainy is Round your answers to three decimal places. and
A set of 345 college players (graduates and undergraduates) are interviewed by the NFL to play professional football, 240 players graduated from college, of these 190 studied a major in the humanities (history, philosophy, political science, etc.), a total of 95 players (graduates and non-graduates) studied a specialty in applied sciences (administration, engineering, accounting, etc.) of which 45 did not obtain a degree. The following events are defined: Event A -> Humanities Major Player Event A’ -> Player majoring in science Event B -> Graduated Player Event B’ -> Player not graduated Answer the following questions: What is the probability of interviewing a player with a major in the humanities? What is the probability of interviewing a graduate player with a major in the humanities? If a player majoring in the humanities is interviewed, what is the probability that the player has graduated? What is the probability of interviewing a graduated player? What to…

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