Toss three fair coins and let x equal the number of heads

Solution 16E

Step1 of 5:

Let us consider three fair coins and it tossed, let x be the number of Heads observed.

Here our goal is:

a). We need to identify the sample points associated with this experiment and assign a value of x to each sample point.

b). We need to calculate p(x) for each value of x.

c). We need to construct a graph for p(x).

d). We need to find P(x = 2 or x = 3).

Step2 of 5:

a).

Let us define the following events:

H = Head

T = Tail.

If we tossed three fair coins then, the possible number of outcomes are:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

Now,

The value of x to each sample point is: