An ordinary (fair) coin is tossed 3 times.Outcomesare thus triples of "heads"(h

)and "tails"(t

)which we writehth

,ttt

,etc. For each outcome, letR

be therandom variablecounting the number of tails in each outcome. For example, if the outcome istht

,then=

R

tht

2

.Suppose that the random variableX

is defined in terms ofR

as follows:=

X

3

R

R

2

3

.The values ofX

are given in the table below.

Outcometth

thh

ttt

hht

htt

hhh

tht

hth

Value ofX

1

1

3

1

1

3

1

1

Calculate the values of theprobability distributionfunction ofX

,i.e. thefunctionp

X

.First, fill in the first row with the values ofX

.Then fill in the appropriate probabilities in the second row.

Valuex

ofX

p

X

x