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QUESTION TWO a) A fair roulette wheel has integers 0-36 equally spaced on the slots of the wheel. In the game each player places Rl
QUESTION TWO a) A fair roulette wheel has integers 0-36 equally spaced on the slots of the wheel. In the game each player places Rl on any number she chooses: if the wheel stops on the number chosen, she wins R35; otherwise she loses the Rand (RI). i. Calculate the expected monetary value of a single play. [3] b) The table 1 below represent partial information on training an OR learning perceptron with input xl and x2. The desired output is given as T. The actual output is given as 0. i. Draw the initial perceptron. [2] ii. Complete training the perceptron. [12] iii. Draw the final trained perceptron. [3] Table 1: Training a perceptron X2T 0 Awl wl Aw2 w2 Aw3 w3 (t) 0.1 0.5 0.8 x1 - 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 QUESTION TWO a) A fair roulette wheel has integers 0-36 equally spaced on the slots of the wheel. In the game each player places Rl on any number she chooses: if the wheel stops on the number chosen, she wins R35; otherwise she loses the Rand (RI). i. Calculate the expected monetary value of a single play. [3] b) The table 1 below represent partial information on training an OR learning perceptron with input xl and x2. The desired output is given as T. The actual output is given as 0. i. Draw the initial perceptron. [2] ii. Complete training the perceptron. [12] iii. Draw the final trained perceptron. [3] Table 1: Training a perceptron X2T 0 Awl wl Aw2 w2 Aw3 w3 (t) 0.1 0.5 0.8 x1 - 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1
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