Answer:
0.66% probability that exactly 40 of the murders were Cleared.
Step-by-step explanation:
For each murder, there are only two possible outcomes. Either it was cleared, or it was not cleared. The probability of a murder being cleared is independent of other murders. So we use the binomial probability distribution to solve this question.
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 combinations 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.
64% of murders committed last year were cleared by arrest or exceptional means.
This means that ![p = 0.64](https://tex.z-dn.net/?f=p%20%3D%200.64)
Fifty murders committed last year are randomly selected.
This means that ![n = 50](https://tex.z-dn.net/?f=n%20%3D%2050)
Find the probability that exactly 40 of the murders were Cleared.
This is P(X = 40).
![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 = 40) = C_{50,40}.(0.64)^{40}.(0.36)^{10} = 0.0066](https://tex.z-dn.net/?f=P%28X%20%3D%2040%29%20%3D%20C_%7B50%2C40%7D.%280.64%29%5E%7B40%7D.%280.36%29%5E%7B10%7D%20%3D%200.0066)
0.66% probability that exactly 40 of the murders were Cleared.
Answer:
the answer for this question you have id number 8
Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.
Answer:
18.8
Step-by-step explanation: