Using the binomial distribution, it is found that there is a 0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.
<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.
The values of the parameters are given as follows:
n = 25, p = 0.62.
The probability that exactly 18 of them say job applicants should follow up within two weeks is P(X = 18), hence:
![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 = 18) = C_{25,18}.(0.62)^{18}.(0.38)^{7} = 0.1008](https://tex.z-dn.net/?f=P%28X%20%3D%2018%29%20%3D%20C_%7B25%2C18%7D.%280.62%29%5E%7B18%7D.%280.38%29%5E%7B7%7D%20%3D%200.1008)
0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Amount of increase = 20-12 = 8
Percentage increase = 8/12 = 0.666... 66.666...% ≈ 67%
Answer:
81p^28
Step-by-step explanation:
3^4=81
7 times 4 =28