Four independent flips of a fair coin are made. Let X denotethe number of heads obtained. Plot the probability mass function ofthe random variable X-2

ediculeN

ediculeN

Answered question

2021-01-19

A fair coin is flipped four times in a row independently. Let X denote the number of heads obtained. Plot the probability mass function ofthe random variable X2

Answer & Explanation

izboknil3

izboknil3

Skilled2021-01-20Added 99 answers

four coins are flipped ; the no.of possible out comesare =2×2×2×2=16
those are like(HHHH)(HHHT)(HHTH).............(TTTH)(TTTT)
THE NO.OF HEADS 'X' IS 0,1,2,3,4
SO THE PROB.MASS FUNCTION OF 'X' IS
P(X=0)=P(0)=116
P(1)=416
P(2)=616
P(3)=416
P(4)=116
-----------------------------------------
LET 'Y' = X2
'Y' TAKES VALUES 2,1,0,-1,-2
PROB.MASS FUNCTION OF Y=X2 IS SAME AS 'X'

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