The risk of females experiencing an anxiety disorder during a given 12-month period is approximately 1...

3.7 Ratings (705 Votes)

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)=

(_nC_x)p^x(1âˆ’p)^{(n-x)Â Â Â} =

0.002

If 20 females are randomly sampled, what is the probability that exactly 5 will experience an anxiety disorder

P(X=5)=

(_nC_x)p^x(1âˆ’p)^{(n-x)Â Â Â} =

0.175

If 30 females are randomly sampled, what is the probability that exactly 5 will experience an anxiety disorder

P(X=5)=

(_nC_x)p^x(1âˆ’p)^{(n-x)Â Â Â} =

0.172

if 20 females are randomly sampled, what is the probability that 5 or 6 will experience an anxiety disorder

P(5<=X<=6)=

âˆ‘_x=a^{bÂ Â Â Â} (_nC_x)p^x(1âˆ’p)^{(n-x)Â Â Â} =

0.284

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-âˆ‘_x=0^x-1Â Â (_nC_x)p^x(q)^(n-x) =

0.033

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