Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Don't open the link it's a scam
Circumference + perimeter =38
x = circumference of circle
find r in terms of x
2
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r=x
r=
![\frac{x}{2 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%20%5Cpi%20%7D%20)
Area=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r^2
so..
A=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(
![\frac{x}{2 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%20%5Cpi%20%7D%20)
)^2
=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(
![\frac{x^{2} }{4 \pi ^{2} }](https://tex.z-dn.net/?f=%20%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B4%20%5Cpi%20%5E%7B2%7D%20%7D%20%20)
)
=
![\frac{x^{2} }{4 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B4%20%5Cpi%20%7D%20)
(38-x) is perimeter
then
![\frac{38-x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B38-x%7D%7B4%7D%20)
(
![\frac{38-x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B38-x%7D%7B4%7D%20)
)^2
![\frac{x^{2} }{4 \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B4%20%5Cpi%20%7D%20)
+ (
![\frac{38-x}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B38-x%7D%7B4%7D%20)
)^2
then you graph it and it equals
16.716 cm the circumference of the circle
Answer:
a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
So, the binomial probability distribution has two parameters, n and p.
In this problem, we have that
and
. So the parameter is
a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.