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 1" complement of event "at most 1"?

Answer 1

Question ③ p=0.35; N=9; $(x) = °((0.35)*(0-65)** ; 2=0,1,2, ---,9 (@)- 1x(x = 0) = þro) = 98660:35)°(0165) = (0.65)' = 0.0207|19128 Pz (X7,2) = 1-{(x<2) = 1 – [PR[x =0) +Pr(x=1] = 1-(66.35)(0.65) ? + °66,35) (0-65) ®] = 1- (0.65)-()(0.35) (0.65) - Answer =1-0.0207119120 O. 100373116 = 0.878914971 Answer Pe (xşı) - Px (x<2)= 1-%%[X72) = 1-0.070914971 = 0.121085029 Answer = 0.0000788156307 (b) Pix (x =9)= $(9)= 960.35)) = (0.35)? at least 2” is not complement of event "at most)” Auswer Answer " at least 2" is complement of event "at most 1" /