Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability that the team goes to the championship.
<h3>What is the binomial distribution formula?</h3>
The formula is:
![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)
![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)
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- His team has a p = 0.5 probability of winning each game.
- The team plays 3 games, hence n = 3.
The team moves to the championship if they win all three games, hence the probability is P(X = 3), given as follows:
![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)
![P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20C_%7B3%2C3%7D.%280.5%29%5E%7B3%7D.%280.5%29%5E%7B0%7D%20%3D%200.125)
0.125 = 12.5% probability that the team goes to the championship.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
$13.50
$750
Step-by-step explanation:
Answer:
1850 cents or $18.50
Step-by-step explanation:
50*8=400
3*35=105
5*269=1345 ($2.69 can be converted to 269 cents)
400+105+1345=1850
Answer:
Answer is 5
Step-by-step explanation:
Okay hun so let me tell u what's up here
They give us this equation and ask for the 'roots'
(x+5)^3(x-9)(x+1)
Now lemme tell you the roots of this one
-5, 9, -1
you get this from making each of them 0
The answer to this would be "3" because there are 3 roots, buT wait theRe'S mOre
(x+5) goes 3 times
So thy must recount it
-5, -5, -5, 9, -1 <-- These are the roots
that's 5 roots in total
....also I did this on edgen, got it right with 5
Answer:
C: 0
Step-by-step explanation:
Let's use 1 for an example first. The opposite of 1 is -1. 2 = -2, 3 = -3, and so on. Since there is no such thing as -0, our answer would be C, 0. It is not -5, -2, 2, or 7 because those are not the negatives of 0.