Answer :

Since X represents the difference between some heads and number of tails when a coin is tossed 6 times.

As the coin is tossed 6 times following outcomes are possible:

Let H denotes heads and T denotes tails

Outcomes: 6H0T( 6 heads 0 Tails), 5H1T, 4H2T, 3H3T, 2H4T and 1H5T

differences can be 6,4,2,0,-2 and -4

X can take values -4,-2,0,2,4 or 6 …

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