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
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
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) =
Q3. ABC Airlines’ first class cabins have 10 seats in each plane. ABC’s overbooking policy is to sell up to 11 first class tickets, since cancellations and no-shows are always possible (and indeed are quite likely). For a given flight on ABC Airlines, there were 11 first class tickets sold. Suppose that each of the 11 persons who purchased tickets has a 25% chance of not showing up for the flight, and that the events that different persons show up for the flight are independent. (Please assume that there is no refund if the customer does not show up for the flight) (a) What is the probability that at most 5 of the 11 persons who purchased first class tickets show up for the flight? (b) What is the probability that exactly 10 of the 11 persons who purchased first class tickets show up for the flight? (c) Suppose that the cost of each first class ticket is $12,000. (Let’s assume that this $12,000 contributes entirely to profit since the variable cost associated with a passenger on a…
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6. An oil exploration company is planning to drill for oil in a new location. Their geologists give them the following probabilities. There is a 10 % probability of making $20,000,000 on this project. There is a 30% probability .of making $12,000,000 on this project There is a 40% probability of making $5,000,000 on this project. Otherwise, they lose their $8,000,000 a) Make up a probability distribution for this drilling project. b) What is the expected value of this drilling project? c) If you owned the company, would you drill? Explain your answer briefly.
A system has six components connected as shown in the following diagram: B A D Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F function are .95, .90, .97, .94, .92, and .93 respectively, what is the probability that the system fails?
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Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement of B. P(A) =0.64. P(B) = 0.3, and P(A and B) =0.192. Then we can say that the two events A and B are
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?

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