Direction vectors are d1=(1,2,2) with magnitude 3, and d2=(3,2,6) with magnitude 7. Dot product =3+4+12=19. So cosθ=19/(3⋅7)=19/21, giving θ=cos−1(19/21).
The random variable X has a probability distribution P(X) of the following form where k is a scalar and
P(X=x)=⎩⎨⎧k,2k,3k,0,if x=0if x=1if x=2otherwise
then value of P(X < 2) = _______.
Held on 23 May 2023 · Verified 13 Jul 2026.
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