1)
|
here this is binomial with parameter n=20 and
p=0.2 |
probability that exactly 10 will experience an anxiety disorder
during this 12-month period:
|
P(X=10)= |
(nCx)px(1−p)(n-x)  Â
= |
0.002 |
2)
If 20 females are randomly sampled, what is the probability that
exactly 5 will experience an anxiety disorder
|
P(X=5)= |
(nCx)px(1−p)(n-x)  Â
= |
0.175 |
3)
If 30 females are randomly sampled, what is the probability that
exactly 5 will experience an anxiety disorder
|
P(X=5)= |
(nCx)px(1−p)(n-x)  Â
= |
0.172 |
4)
if 20 females are randomly sampled, what is the probability that
5 or 6 will experience an anxiety disorder
|
P(5<=X<=6)= |
∑x=ab   Â
(nCx)px(1−p)(n-x)  Â
= |
0.284 |
5)
If 10 females are randomly sampled, what is the probability that
5 or more will experience an anxiety disorder
|
P(X>=5)=1-P(X<=4)= |
1-∑x=0x-1 Â
(nCx)px(q)(n-x) = |
0.033 |
