X                                               Y Y=0 Y=1 Y=2X=0      0.32 0.03 0.01X=1 0.06 0.24 0.02X=2 0.02 0.03 0.27Find  P(X≤1, Y=1)

X                                               Y Y=0 Y=1 Y=2X=0      0.32 0.03 0.01X=1 0.06 0.24 0.02X=2 0.02 0.03 0.27Find  P(X≤1, Y=1)

The joint probabilities are given in the table. The value of P(Y<=2) is3/161/163/323/64

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than 2". Find P(A).Outcome Probability1 0.12 0.023 0.434 0.255 0.066 0.037 0.098 0.02

uppose Company 1’s simple return X is a random variable and takes three possiblevalues {−0.1, 0.1, 0.2}. Company 2’s simple return Y is a random variable and takes twopossible values {−0.3, 0.4}. The joint probability distribution f (X, Y ) is as follows:f (X = −0.1, Y = −0.3) = 0.2, f (X = 0.1, Y = −0.3) = 0.2, f (X = 0.2, Y = −0.3) = 0.1,f (X = −0.1, Y = 0.4) = 0.1, f (X = 0.1, Y = 0.4) = 0.2, f (X = 0.2, Y = 0.4) = 0.2Please calculate the following:(a). Marginal distributions: fX (x) and fY (y);(b). Mean: E[X] and E[Y ];(c). Variance: var(X) and var(Y );(d). Covariance: cov(X, Y );(e). Correlation: corr(X, Y )

P(A) = 0.20P(B) = 0.25P(A and B) = 0.10What is P(B|A)?A.0.25B.0.05C.0.50D.0.40SUBMITarrow_backPREVIOUS