0417 Binomial Distribution learning summary

Flipped 5 times

X=0, HHHHH, 1/2*5=1/32

X=1, THHHH, T has 5 ways arrange in 5places, 1/32 *5= 5/32

X=2, TTHHH, T has 5*4= 20 ways, 2 changingways, 5*4/2= 10* 1/32= 10/32

X=3, TTTHH, T has 5*4*3=60 ways. 1*2*3=6changing ways, 60/6=10 *1/32=10/32

X=4, TTTTH, T has 5*4*3*2*1= 120 ways,1*2*3*4= 24 changing ways, 120/24= 5*1/32=5/32

0418

4/18

Binomial distribution

X=0, 1/32

X=1, 5/32

X=2, 10/32

X=3, 10/32

X=4, 5/32

X=5, 1/32

0419

6 shots, p=0.3, not hit= 1-0.3=0.7

P(0)= 0.7*6

P(1)=0.3*0.7*5 *6

P(2)=0.3*0.3*0.7*4 *15

P(3)=0.3*0.3*0.3*0.7*0.7*0.7**20

P(4)=0.3*0.3*0.3*0.3*0.7*0.7*15

P(5)=0.3*0.3*0.3*0.3*0.3*0.7*6

P(6)=0.3*6*1