The number of throws that the player make X follows binomial distribution.
The probability that the player makes x throws out of eleven throws is
![P(X=x)=C(x,11)0.5^x(0.5)^{11-x}=C(x,11)0.5^{11}](https://tex.z-dn.net/?f=%20P%28X%3Dx%29%3DC%28x%2C11%290.5%5Ex%280.5%29%5E%7B11-x%7D%3DC%28x%2C11%290.5%5E%7B11%7D%20)
The probability that the player makes at most nine out of eleven free throws
is
![\sum_{x=0}^9C(x,11)0.5^{11}=1-\sum_{x=10}^{11}C(x,11)0.5^{11}\\ =1-C(10,11)0.5^{11}-C(11,11)0.5^{11}=1-\frac{12}{2^{11}} \\ =1-\frac{3}{512} =\frac{509}{512}](https://tex.z-dn.net/?f=%20%5Csum_%7Bx%3D0%7D%5E9C%28x%2C11%290.5%5E%7B11%7D%3D1-%5Csum_%7Bx%3D10%7D%5E%7B11%7DC%28x%2C11%290.5%5E%7B11%7D%5C%5C%20%3D1-C%2810%2C11%290.5%5E%7B11%7D-C%2811%2C11%290.5%5E%7B11%7D%3D1-%5Cfrac%7B12%7D%7B2%5E%7B11%7D%7D%20%5C%5C%20%3D1-%5Cfrac%7B3%7D%7B512%7D%20%3D%5Cfrac%7B509%7D%7B512%7D%20%20)
Correct choice is (B).
The volume of a cone is = pi r^2 h/3
and the volume of the pyramid is = V= l w h/3
Hope this helps!
can I get a brainleist
Answer: Breed for black-haired pigs
Step-by-step explanation:
Now according to the statement, the farmer catches wild pigs and mostly are brown.
Since black hair is dominant over brown and also black and brown are dominant over red, this implies that red is the least dominant color meaning if breeding occurs, there would be less chance of getting red colored pigs.
She wants to breed either black or red haired pigs and since black is more dominant so she should breed the black ones with the brown ones or with themselves so she would eventually get pure-breeding herd i.e. of black color.
8
Step-by-step explanation:
5×4 equals 120 120 divided by 15 equals 8 which is the answer
Answer:
50
Step-by-step explanation: