Question: ........ 3. [Maximum mark: 6] The probability distribution of the discrete random variable X is given by the table X 1 2 3 P( X

 ........ 3. [Maximum mark: 6] The probability distribution of the discrete

random variable X is given by the table X 1 2 3

........ 3. [Maximum mark: 6] The probability distribution of the discrete random variable X is given by the table X 1 2 3 P( X =x) 0.2 0.4 0.4 Nikos selects a number at random. If he selects 1 he earns 10 E. If he selects 2 he earns 5 E. If he selects 3 he loses 4 E (a) Find the expected value of X. [3] (b) Find the expected value of the profit for Nikos. Is the game fair? [3]

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