Answer:
0.2752512
Step-by-step explanation:
The formula you are looking for is the binomial probability:
n!
P (X) = ------------ * (P)^X * (q)^n - X
(n- X)! X!
For your particular problem:
n=7
X=2
q = 1-p = .8
7!/(5!*2!)*(.2)^2*(.8)^5 = 0.2752512
Hope this helps, have a nice day/night! :D
Answer:
The solution is 
Step-by-step explanation:
The equation

can be rewritten as

and can be further simplified to
.
Now, taking the inverse sine of both sides we get:


The value of the right side on the interval
is
,
which makes the equation (2)

solving for
gives

which is our solution.
Answer:
it is 10 d a d a p a p a
Step-by-step explanation:
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.