Homework Answers
Ans:
a)
P(x=k)=9Ck*0.55k*0.459-k
| x | P(x) |
| 0 | 0.001 |
| 1 | 0.008 |
| 2 | 0.041 |
| 3 | 0.116 |
| 4 | 0.213 |
| 5 | 0.260 |
| 6 | 0.212 |
| 7 | 0.111 |
| 8 | 0.034 |
| 9 | 0.005 |
last option is correct.
b)
P(x=9)=0.55^9=0.005
c)
P(x>=7)=P(x=7)+P(x=8)+P(x=9)
=9C7*0.557*0.452+9C8*0.558*0.451+9C7*0.559*0.450
=0.111+0.034+0.005
=0.150
d)
Expectation=np=9*0.55=4.95
Standard deviation=sqrt(np(1-p))=sqrt(9*0.55*0.45)=1.492
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