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

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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 probability
distribution for (K yis given by
2
31
4
0.01
0,01
0.03
0.07
0.01
0.03
0.05
0.08
0.03
0.02
0.03
0.11
0.15
0.01
0.01
0.02
0.07
0.1
0.03
0.01
4
0.01
0.06
0.03
0.01
0.01
(a) Give the marginal probabilty distribution of fx (0. Answer
e) Give the marginal probabiliny distribution of fy (3 Answer
K) Give the conditional density distribution of x-3 pven Y-3, Answer
(d) Give Epo. Answer
(e) Give EM. Answer
O Give EXI Y- 31 Answer
Give the standard deviation ofY. Answer
Transcribed Image Text: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 probability distribution for (K yis given by 2 31 4 0.01 0,01 0.03 0.07 0.01 0.03 0.05 0.08 0.03 0.02 0.03 0.11 0.15 0.01 0.01 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01 (a) Give the marginal probabilty distribution of fx (0. Answer e) Give the marginal probabiliny distribution of fy (3 Answer K) Give the conditional density distribution of x-3 pven Y-3, Answer (d) Give Epo. Answer (e) Give EM. Answer O Give EXI Y- 31 Answer Give the standard deviation ofY. Answer
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