Question

3) The chance that a salmon jumps up the waterfall to upstream successfully 35%. We have a group of 9 salmon. a) What is the chance that none of them jump up successfully? b) What is the chance that all of them reach up-stream? c) What is the chance that at least 2 of them reach up-stream? d) What is the chance that at most 1 of them reach up-stream? e) Is “at least l” complement of event “at most l”?

Answer 1

to of Answer :- Á =__Salmon jumps up the waterfall Lipsmeam p = chance 0.35 ng Here XN Binum 6029 p=0.35) Now we have p(none of them jump up successfully) PLX=0) The pomf xis (b to compute of 2 nc PIX22) = طو 9 gro prxz0) 9 co co.3s) co.6s) 60.6s) 0.0207 = JD A none them jump up successfully) -0.0207 b) PC All of them reach Upd_stream) pa=g) P(X=x) = 9 Cg cao 0.3509 c 0.65) = = (0.35 0.0001 pCall Of them reach up stream) = 0.000) c) pc A+ Twballs th Fshat (zext of them reach eta pexs22 lpix sont pixas, T

P(X=0) = paan = paxz2) 0.0207 0.1004 (0.0207 + 0.lody) a Or 8789 PC At least OF them reach up Stream) = 0.8789 d) pl at most p( x (1) them reach up- stream) L-Ipx=0) + pcx=i21 1- C0.0207 + 0.1004) 0.8789 p cat most e of them reach 4- Stream)= 0.8789 at least is not complement of event + NO at most t,