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1. Considering the following graph with given probabilities, compute P(f = empt yjs = no), the probability of the fuel tank being empty conditioned on the observation that the car does not start. Battery Fuel Gange Turn Over Start p(b = bad) = 0.02 p(g = emptyjb = good, f = not empty) = 0.04 p(g = emptylb = good, f = empty) = 0.97 p(g = emptyjb = bad, f = not empty) = 0.1 p(t = falb = good) = 0.03 p(s = falt = tr, f = not empty) = 0.01 p(s = falt = fa, f = not empty) = 1.0 P(f = empty) = 0.05 p(g = emptyjb = bad, f = empty) = 0.99 p(t = falb= bad) = 0.98 p(s = falt = tr, f = empty) = 0.92 p(s = falt = fa, f = empty) = 0.99 %3D %3D %3D %3D %3D

1. Considering the following graph with given probabilities, compute P(f = empt yjs = no), the probability of the fuel tank being empty conditioned on the observation that the car does not start. Battery Fuel Gange Turn Over Start p(b = bad) = 0.02 p(g = emptyjb = good, f = not empty) = 0.04 p(g = emptylb = good, f = empty) = 0.97 p(g = emptyjb = bad, f = not empty) = 0.1 p(t = falb = good) = 0.03 p(s = falt = tr, f = not empty) = 0.01 p(s = falt = fa, f = not empty) = 1.0 P(f = empty) = 0.05 p(g = emptyjb = bad, f = empty) = 0.99 p(t = falb= bad) = 0.98 p(s = falt = tr, f = empty) = 0.92 p(s = falt = fa, f = empty) = 0.99 %3D %3D %3D %3D %3D

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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1. Considering the following graph with given probabilities, compute P(f = empt yls = no), the probability of the fuel tank being empty conditioned on the ohservation that the car does not start. Battery Fuel Gauge Tarn Over Start p(b = bad) = 0.02 p(g = emptyb = good, f = not empty) = 0.04 p(g = emptylb = good, f = empty) = 0.97 P(g = emptyjb = bad, f = not empty) = 0.1 p(g = emptylb = bad, f = empty) = 0.99 p(t = falb = good) = 0.03 p(s = falt = tr, f = not empty) = p(s = falt = fa, f = not empty) = 1.0 p(f = empty) = 0.05 %3D p(t = falb = bad) = 0.98 p(s = falt = tr, f = empty) 0.92 p(s = falt = fa, f = empty) = 0.99 %3D = 0.01
Transcribed Image Text:1. Considering the following graph with given probabilities, compute P(f = empt yls = no), the probability of the fuel tank being empty conditioned on the ohservation that the car does not start. Battery Fuel Gauge Tarn Over Start p(b = bad) = 0.02 p(g = emptyb = good, f = not empty) = 0.04 p(g = emptylb = good, f = empty) = 0.97 P(g = emptyjb = bad, f = not empty) = 0.1 p(g = emptylb = bad, f = empty) = 0.99 p(t = falb = good) = 0.03 p(s = falt = tr, f = not empty) = p(s = falt = fa, f = not empty) = 1.0 p(f = empty) = 0.05 %3D p(t = falb = bad) = 0.98 p(s = falt = tr, f = empty) 0.92 p(s = falt = fa, f = empty) = 0.99 %3D = 0.01
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