The odds against Manager X settling the wage dispute with the workers are 8:6 and odds in favour of manager Y settling the same dispute are 14: 16. (i) What is the chance that neither settles the dispute, if they both try, independently of each other? (ii) What is the probability that the dispute will be settled?
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![Hello can you solve this.
The odds against Manager X settling the wage
dispute with the workers are 8:6 and odds in
favour of manager Y settling the same dispute
are 14: 16.
(i) What is the chance that neither settles the
dispute, if they both try, independently of each
other?
(ii) What is the probability that the dispute will
be settled?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd111706a-7122-4b2e-8e62-199eab9c6d8a%2Fe7489aab-f775-45b5-8356-45c030c40b0d%2Fttvwl6e_processed.jpeg&w=3840&q=75)
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- Suppose that there are two ice cream vendors on a beach which isrepresented by the 0-1 interval. Customers are uniformly distributedalong that interval. The vendors simultaneously select a position. Cus-tomers go to the closest vendor and split themselves evenly if the ven-dors choose an identical position. Each vendors want to maximize itsnumber of customers. Which location should the vendors choose in the0-1 interval, why?. If you examine the decision tree in Figure 9.12 (orany other decision trees from PrecisionTree), you willsee two numbers (in blue font) to the right of each endnode. The bottom number is the combined monetaryvalue from following the corresponding path throughthe tree. The top number is the probability that thispath will be followed, given that the best strategy isused. With this in mind, explain (1) how the positiveprobabilities following the end nodes are calculated,(2) why some of the probabilities following the endnodes are 0, and (3) why the sum of the probabilitiesfollowing the end nodes is necessarily 1.Employees of a local university have been classified according to gender and job type. Gender Job Male (M) Female (F) Faculty (FA) Salaried staff (SS) 110 10 30 50 Hourly staff (HS) 60 40 If an employee is selected at random, what is the probability that the employee is female, given that the employee is a salaried member of the staff? Select one: O A. 167 О в. 625 O C. 267 O D. 375 O E. 500
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