An number cube (a far die) 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 bee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll).

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For each outcome, let N be the random vacable counting the number of even rolls in each outcome. For example, if the outcome is 000, then N (000) = 0. Suppose that the random variatile X is defined in terms of V as follows: X-6N-2N-1. The values of X are given in the table below.

Outcome

CEE

000

000

000

200

000

oee

ooe

Value

of X13-133

33

3

Calculate the probabilities 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

Value x of X

PX-x)