Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X ?
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X ?

Solution:

Six times a coin is tossed.

The difference between the number of heads and the number of tails is represented by X.

\Rightarrow \mathrm{X}(6 \mathrm{H}, \mathrm{OT})=|6-0|=6

X(5 H, 1 T)=|5-1|=4

x(4 H, 2 T)=|4-2|=2

x(3 H, 3 T)=|3-3|=0

X(2 \mathrm{H}, 4 \mathrm{~T})=|2-4|=2

X(1 H, 5 T)=|1-5|=4

\mathrm{X}(\mathrm{OH}, 6 \mathrm{~T})=|0-6|=6

As a result, X is a sample space function with a range of 0,2,4,6.

As a result, mathrmX is a random variable with the values 0,2,4, or 6.