For mathematical modeling, suppose the major causes of an accident (A) on a segment of highwaycan be grouped into speeding (S), tiredness (T), carelessness (C), weather conditions (W), and drunkenness (D). Thelikelihoods of these causes are estimated to be 4:3:1:1:1, respectively. P(S)=0.4, P(T)=0.3, P(C)= P(W)=P(D)=0.1.Q2The probabilities of an accident due to S, T, C, W, and D are 0.01, 0.05, 0.01, 0.005, and 0.8, respectively.a) Calculate the probability of an accident in the segment of the highway.b) If there was an accident, what is the probability that it was caused by drunkenness of the driver?

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Description: For mathematical modeling, suppose the major causes of an accident (A) on a segment of highwaycan be grouped into speeding (S), tiredness (T), carelessness (C), weather conditions (W), and drunkenness (D). Thelikelihoods of these causes are estimate

Given, P(S)=0.4 P(T)=0.3 P(C)=P(W)=P(D)=0.1 Let the random variable X= Accident is occurred…

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Probability

For mathematical modeling, suppose the major causes of an accident (A) on a segment of highway Q2 can be grouped into speeding (S), tiredness (T), carelessness (C), weather conditions (W), and drunkenness (D). The likelihoods of these causes are estimated to be 4:3:1:1:1, respectively. P(S)=0.4, P(T)=0.3, P(C)= P(W)=P(D)=0.1. The probabilities of an accident due to S, T, C, W, and D are 0.01, 0.05, 0.01, 0.005, and 0.8, respectively. a) Calculate the probability of an accident in the segment of the highway. b) If there was an accident, what is the probability that it was caused by drunkenness of the driver?

For mathematical modeling, suppose the major causes of an accident (A) on a segment of highway Q2 can be grouped into speeding (S), tiredness (T), carelessness (C), weather conditions (W), and drunkenness (D). The likelihoods of these causes are estimated to be 4:3:1:1:1, respectively. P(S)=0.4, P(T)=0.3, P(C)= P(W)=P(D)=0.1. The probabilities of an accident due to S, T, C, W, and D are 0.01, 0.05, 0.01, 0.005, and 0.8, respectively. a) Calculate the probability of an accident in the segment of the highway. b) If there was an accident, what is the probability that it was caused by drunkenness of the driver?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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