(Solution Library) A child's game has a spinner with only three outcomes, 1,2, and 3 . The probability of spinning a 2 on the spinner is double the probability


Question: A child's game has a spinner with only three outcomes, 1,2, and 3 . The probability of spinning a 2 on the spinner is double the probability of spinning a 1 , and the probability of spinning a 3 is double the probability of spinning a $2 .$ If \(\mathrm{X}\) is the random variable representing the number on the spinner, find the moment generating function for \(\mathrm{X}\).

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