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An number cube is rolled 3 times. For each roll we are interested in whether the roll comes up even or odd. An outcome is
An number cube is rolled 3 times. For each roll we are interested in whether the roll comes up even or odd. An outcome is represented by a string of the sort o e e( meaning an odd number on the first roll an even number on the second roll and even number on the third roll). For each outcome let N be the random variable counting the number of even rolls in each outcome. For example if the outcomes is o e e then N (o e e)=2 Suppose that the random variable X is defined in terms of N as follows: X= 2N^2-6N-3. The variable of X are given in the table below. Outcome ooe eoe oee eee oeo eeo eoo ooo Value of X -7 -7 -7 -3 -7 -7 -7 -3 Calculate the probability P (X=x) of the probability distribution of X. First fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row
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