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probabilistic_robotics_._book [2016/10/28 13:37] nikolaj |
probabilistic_robotics_._book [2016/10/31 20:03] nikolaj |
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| This all has more connections to path integrals and stochastic integrals than I previously thought, so, to me, that's great and fun. | This all has more connections to path integrals and stochastic integrals than I previously thought, so, to me, that's great and fun. | ||
| + | |||
| + | == Exercises == | ||
| + | |||
| + | $bel_0(\neg faulty)=\frac{9}{10}$ | ||
| + | |||
| + | $bel_0(faulty)=\frac{1}{10}$ | ||
| + | |||
| + | $ p(z\in [0,1]\,|\, faulty) = 1 $ | ||
| + | |||
| + | $ p(z\notin [0,1]\,|\, faulty) = 0 $ | ||
| + | |||
| + | $ p(z\in [0,1]\,|\, \neg faulty) = \frac{1}{3} $ | ||
| + | |||
| + | $ p(z\notin [0,1]\,|\, \neg faulty) = \frac{2}{3} $ | ||
| + | |||
| + | $ p(faulty \,|\, z\in [0,1]) \proto p(z\in [0,1]\,|\, faulty)\cdot bel_0(faulty)$ | ||
| + | |||
| + | $ N = \sum_{x = faulty, \neg faulty} p(z\in [0,1]\,|\, x)\cdot bel_0(x)$ | ||
| + | |||
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