A motorcydle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course.Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probabilitydistribution for (K yis given by23140.010,010.030.070.010.030.050.080.030.020.030.110.150.010.010.020.070.10.030.0140.010.060.030.010.01(a) Give the marginal probabilty distribution of fx (0. Answere) Give the marginal probabiliny distribution of fy (3 AnswerK) Give the conditional density distribution of x-3 pven Y-3, Answer(d) Give Epo. Answer(e) Give EM. AnswerO Give EXI Y- 31 AnswerGive the standard deviation ofY. Answer

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A motoryde dives from Buenda to Quapo and back using the same course everyday. There are four stoplghts on the course Let s denote the number of red ights the motorcyde encounters going from Beunda to Quapo and y denote the number encountered on the return trp. Data collected over a long period suggest that the jont protbubility dstrituion for y gen by 21 01 001 07 002 01 001 0.0 Gve the margnal probatty dtrbuton of f Awer Give he margnal probablity durbuton of fy Anser OGthe condtonal densty detrbuton of penv Aoer Gve to Aner Give ton Aer Gve EY Answer wGve the standard devation ofV.Anwer