Twenty percent of the employees of a large company are female. Find the probability that in a random sample of 15 employees, at least two are female?
I have the answer I just don't get how to do it.
I have the answer I just don't get how to do it.
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Let x = number of females selected
Pr ( at least two are female)
= Pr ( x >= 2)
= 1 - Pr( x =0) - Pr( x =1)
= 1 - 15C0 (.2)^2 (.8)^15 - 15C1 (.2)^1 (.8)^14
= you calculate
Pr ( at least two are female)
= Pr ( x >= 2)
= 1 - Pr( x =0) - Pr( x =1)
= 1 - 15C0 (.2)^2 (.8)^15 - 15C1 (.2)^1 (.8)^14
= you calculate
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Let X be number of females employees of a large company.
p = 0.25
q = 1 - 0.25 = 0.75
n = 15
P(X ≥ 2) = 1 - P(X ≤ 1) = 1 - 0.08018076605 = 0.9198192340, answer!
P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.01336346101 + 0.06681730504 = 0.08018076605
P(X = 0) =
(15)
(0)*(0.25^0)*0.75^15 = 0.01336346101
P(X = 1) =
(15)
(1)*(0.25^1)*0.75^14 = 15*0.25*0.01781794801 = 0.06681730504
p = 0.25
q = 1 - 0.25 = 0.75
n = 15
P(X ≥ 2) = 1 - P(X ≤ 1) = 1 - 0.08018076605 = 0.9198192340, answer!
P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.01336346101 + 0.06681730504 = 0.08018076605
P(X = 0) =
(15)
(0)*(0.25^0)*0.75^15 = 0.01336346101
P(X = 1) =
(15)
(1)*(0.25^1)*0.75^14 = 15*0.25*0.01781794801 = 0.06681730504