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In Sarawak, the probability that a patient recovers from a Covid19 is 0.3. If 20 people were infected, then evaluate the following probabilities: a) i) At least 4 survive. ii) From 5 to 8 survive. b) The expected value of oil tankers arriving each week at Kuala Selangor station is 10. The station can handle at most 14 tankers per week. i) Detemine the probability of given week tankers have to be turned away. ii) Evaluate the probability of a given week at most 3 tankers have to be turned away. c) Suppose that the sample space S is the population of UNISEL students who have completed the requirements for the MUET examination. The examination result was categorized as shown in Table 2.1. Table 2.1 Passed Failed Male Female 360 140 40 160 Let event M defined by a male student is chosen and event E defined by the one chosen is passed. Find the followings: i) P(M |E). ii) P(E'|M). iii) Are the events M and E are independent?

In Sarawak, the probability that a patient recovers from a Covid19 is 0.3. If 20 people were infected, then evaluate the following probabilities: a) i) At least 4 survive. ii) From 5 to 8 survive. b) The expected value of oil tankers arriving each week at Kuala Selangor station is 10. The station can handle at most 14 tankers per week. i) Detemine the probability of given week tankers have to be turned away. ii) Evaluate the probability of a given week at most 3 tankers have to be turned away. c) Suppose that the sample space S is the population of UNISEL students who have completed the requirements for the MUET examination. The examination result was categorized as shown in Table 2.1. Table 2.1 Passed Failed Male Female 360 140 40 160 Let event M defined by a male student is chosen and event E defined by the one chosen is passed. Find the followings: i) P(M |E). ii) P(E'|M). iii) Are the events M and E are independent?

A First Course in Probability (10th Edition)
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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a) In Sarawak, the probability that a patient recovers from a Covid19 is 0.3. If 20 people were infected, then evaluate the following probabilities: i) At least 4 survive. ii) From 5 to 8 survive. b) The expected value of oil tankers arriving each week at Kuala Selangor station is 10. The station can handle at most 14 tankers per week. i) Detemine the probability of given week tankers have to be turned away. ii) Evaluate the probability of a given week at most 3 tankers have to be turned away. Suppose that the sample space S is the population of UNISEL students who have completed the requirements for the MUET examination. The examination result was categorized as shown in Table 2.1. Table 2.1 Passed 360 140 Failed Male 40 Female 160 Let event M defined by a male student is chosen and event E defined by the one chosen is passed. Find the followings: i) P(M |E). ii) P(E'|M). iii) Are the events M and E are independent?
Transcribed Image Text:a) In Sarawak, the probability that a patient recovers from a Covid19 is 0.3. If 20 people were infected, then evaluate the following probabilities: i) At least 4 survive. ii) From 5 to 8 survive. b) The expected value of oil tankers arriving each week at Kuala Selangor station is 10. The station can handle at most 14 tankers per week. i) Detemine the probability of given week tankers have to be turned away. ii) Evaluate the probability of a given week at most 3 tankers have to be turned away. Suppose that the sample space S is the population of UNISEL students who have completed the requirements for the MUET examination. The examination result was categorized as shown in Table 2.1. Table 2.1 Passed 360 140 Failed Male 40 Female 160 Let event M defined by a male student is chosen and event E defined by the one chosen is passed. Find the followings: i) P(M |E). ii) P(E'|M). iii) Are the events M and E are independent?
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