When Bob and Carl drink beer. the amounts of beer each one of them drinks (in ounoes) jointly follow a bivariate normal distribution with \"3:34, 63:18, \"(3:60, GC=15, pBC=0'60' When Dave joins Bob and Carl, the amounts of beer each one of them drinks (in ounces) (B, C, D) jointly follow N3(].L 2) distribution with 84 324 162 195 p, = 60 and E = 162 225 129 134 195 129 400 g) What is the probability that Dave would drink over 120 oz? That is, nd P( D > 120 }. 11) Suppose we know that Carl drank 5? oz. What is the probability that Dave would drink over 120 oz? That is, nd P( Dr: 120 I C = 5'? ). \"Hint\": (C, D) jointly follow a bivariate normal distribution. i) What is the probability that Dave would drink more than twice the amount that Carl would drink? That is, nd P(D > 2 C). j) What is the probability that Dave would drink more than Bob and Carl together? That is. nd F(D>B+C). It) What is the probability that Bob, Carl. and Dave together would drink more than 310 oz? That is, find P(B + C + D > 310 )