60. The probabilities of X, Y and Z becoming managers are4 2and respectively. The probabilities that the Bonus Scheme will be3 1introduced if X, Y and Z become manager are10 2and respectively.(i) What is the probability that the Bonus Scheme will be introduced; and(ii) If the Bonus Scheme has been introduced, what is the probability thatthe manager appointed was X ?

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Answered: 60. The probabilities of X, Y and Z…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Answers must be in 4 decimals If the probabilities that a computer technician will repair 3,4,5,6,7, or 8 or more laptops on any given workday are 0.12, 0.19, 0.28, 0.24, 0.10, and 0.07, respectively, what is the probability that he will service more than 5 laptops on his next day at work?
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
1 then the probability that the event will not occur is E, and the odds in favor of the event occurring are 4 If the probability that an event will occur is The odds are
Answers must be in 4 decimals 1. The probability that IEntelligent will open a review center in Quezon City is 0.7, the probability that is will open a review center in Laguna is 0.4, and the probability that it will open a review center in either QC or Laguna or both is 0.8. what is the probability that IEntelligent will locate in both locations? 2. The probability that IEntelligent will open a review center in Quezon city is 0.7, the probability that is will open a review center in Laguna is 0.4, and the probability that it will open a review center in either QC or Laguna or both is 0.8. What is the probability that IEntelligent will locate in QC only?
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Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is (a) What is the value of p? • (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?
17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27
A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?
The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given by P(A or B or C)=P(A) + P(B) + P(C) - P(A and B)- P(A and C) - P(B and C) + P(A and B and C) Find P(A or B or C) for the given probabilities. P(A)=0.38, P(B) = 0.29, P(C) = 0.12 P(A and B)=0.12, P(A and C) = 0.04, P(B and C) = 0.06 P(A and B and C) = 0.01 P(A or B or C) =
Suppose the probability of getting the flu is 0.20, the probability of getting a flu shot is 0.60, and the probability of bothgetting the flu and a flu shot is 0.10. (a) Find the probability of the union between (getting the the flu) and (getting the flu shot).
Q1. Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: What is the probability that at least one girl is born?
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