PTSP Random Variable -2

A mixed random RV is one having

• Discrete values only

• - ∞ to 0 only

• Both continuous and discrete

• continuous values only

A discrete random variable can take a____________ number of values within its range

The normalized third central moment is known as

• Mean

• Skewness of density function

• Standard Deviation

• Variance of density function

A transformation T is called monotonically decreasing if

• T(X1) > T(X2) for X1<X2

• T(X1) = T(X2) for X1<X2

• T(X1) < T(X2) for X1<X2

• T(X1) >T(X2) for X1<X2

MGF is given by M_X(V) is

• E[e^v ]

• E[e^vX]

• e^V x

• E(e^2x)

The second central moment is also known as__________________

Gaussian R.V's are completely defined through only their

• first order moments

• Second order moments

• First order moments & Second order moments

• Covariance

The PDF of sum of a large number of RV’s approaches a distribution

• Rayleigh

• Uniform

• Gaussian

• Poisson

If y=X1+ X2 +………….. +XN where X1, X2 ,……………. XN are statically independent RV’s then fy(y) is

• f_x1(x1)+ f_x2(x2)+………+ f_xN(xN)

• f_x1(x1)- f_x2(x2)+………+ f_xN(xN)

• f_x1(x1)* f_x2(x2)*………*f_xN(xN)

• f_x1(x1) - f_x2(x2) - ………- f_xN(xN)

The distribution function of one RV X conditioned by a second RV Y with interval

{ ya ≤ y ≤ yb } is known as

• Moment generation

• Point Conditioning

• Expectation

• Interval conditioning