Q. 145.0( 3 Votes )

Mark the correct A.

B.

C.

D. none of these

Answer :

Given:


n=8


p= 1/2


P (|X – 4)| ≤ 2)=?


Since |X – 4)| ≤ 2


i.e. (x-4) ≤ 2


OR (4-X) ≤ 2


x ≤ 6


OR 2 ≤ x


P (|X – 4)| ≤ 2)= P (2≤x≤ 6)


=p(x=2)+ p(x=3)+ p(x=4)+ p(x=5)+ p(x=6)


P(x=r)= nCr pr qn-r


P (2≤x≤ 6) = 8C2 p2 q6 + 8C3 p3 q5 + 8C4 p4 q4 + 8C5 p5 q3 + 8C6 p6 q2


=p8 [8C2 +8C3 +8C4 + 8C5 + 8C6 ]




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