Scenario 5-8. A student is chosen at random from the River City High School student body, and the following events are recorded:M=The student is maleF = The student is femaleB= The student ate breakfast that morning.N= The student did not eat breakfast that morning.The following tree diagram gives probabilities associated with these events.В.8M.2N.B.6.3F.7 Use Scenario 5-8. What is the probability that the student had breakfast?0.640.32C0.40O d0.50

Answered: Scenario 5-8. A student is chosen at…

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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Question. Consider a single-server system where there can be at most two customers in the system (including the one being served). In each hour, a new customer enters to the system with probability % unless there are already 2 customers in the system. Assume that new arrival occurs at the end of each hour. At the beginning of each hour, the server can decide a configuration if there is a customer in the system. If the configuration is fast, with probability 0.7, one customer is served and it leaves the system in a given hour. On the other hand, if the configuration is slow, this probability decreases to 0.4. 80 TL revenue is obtained for each customer whose service is completed. The costs of slow and fast configurations are 10 and 15 TL per hour, respectively. The hourly discount rate is B=0.8. We would like to maximize the total expected discounted profit over an infinite horizon. Formulate the problem as MDP model by defining states, decision sets, transition probabilities and…
A3. Consider two events following receiving a bachelor’s degree from a prestigious university: A = {being accepted into a graduate program} and B = {receiving a job offer}. We know the following is true: P(A) = P(B) = 0.7 P(A|B) = 0.9 From the information provided, find the probability of being accepted into a graduate program and receiving a job offer, that is (A∩B)?
Chapter 2: Probability OPEN I am finished Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walker. They found that 53% of the respondents voted in favor of Scott Walker. Additionally, they estimated that of those who did vote in favor for Scott Walker, 39% had a college degree, while 40% of those who voted against Scott Walker had a college degree. Let S denote the event "voted for Scott Walker" and C denote "Had a college degree". The probability 0.53 above refers to P(S) The probability 0.39 above refers to P(CIS) The probability 0.4 above refers to P(CIS^c) Find: P(C) = 0.3947 P(C and S) 0.2067 P(C or S) = 0.718 P(CC and S) = 0.3947 Suppose we randomly sampled a person who participated in the exit poll and found that he had a college degree. What is the probability that he voted in favor of Scott Walker? 0.3947 US V 0 10:23 HOMI acer
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An experiment can result in one of five equally likely simple events, E1, E2, , E5. Events A, B, and C are defined as follows. A: E1, E3 P(A) = 0.4 B: E2, E3, E4, E5 P(B) = 0.8 C: E1, E5 P(C) = 0.4 Find the probabilities associated with the following events by listing the simple events in each. (a) AC
Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)? O A. 0.3 O B. None of these O C. 0.4 O D. 0.0
2
5 1. a. find the probabilities of player 1 play U, M, and D b. find the probabilities of player 2 plays U and D
Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 7 white and 4 black marbles. A random experiment is performed in two sequential trials by first drawing a marble randomly from box A and putting into Box B. In the second trial after the first trial, a marble is drawn randomly from box B. Answer the following questions. Are the two trials independent or dependent? Give reasons to support your answer Draw a probability tree diagram to show the execution of this random experiment. What is the probability of drawing a white marble from box B at the end of 2nd trial? What is the probability of drawing a black marble from box B at the end of 2nd trial? Identify all the mutually exclusive events present in the given scenario and verify that they are mutually exclusive.…
Example 2.3.13 Two urns contain 3 white, 7 red, 15 black, and 10 white, 6 red, 9 black balls respectively. One ball is drawn from each urn. Find the probability that both the balls are of the same colour.
A bag of M&M's has 6 red, 2 green, 4 blue, and 3 yellow M&M's. Suppose you randomly select two M&M's from the bag one at a time without replacing the first M&M. Let A = first M&M is blue and B = second M&M is green.Find the following probabilities. (Write your answers as fractions.)a) P(A) = b) P(B | A) = c) P(A and B) =

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