tossing a coin three times , define the random variable X on S where X is the number of heads for each tossing and calculate the probability mass function.
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total answers (1)
total answers (1)
Mathematics
S={HHH,HTH,HHT,THH,HTT,THT,TTH,TTT}
N(S)=8
X={0,1,2,3} Which is a discrete r.v.
P(X=0)=P{TTT}=1/8
P(X=1)=P{HTT,THT,TTH}=3/8
P(X=2)=P{HHT,HTH,THH}=3/8
P(X=3)=P{HHH}=1/8
This can be written in the following table: