Answer:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean is:
![M = \frac{a+b}{2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Ba%2Bb%7D%7B2%7D)
The standard deviation is:
![S = \sqrt{\frac{(b-a)^{2}}{12}}](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%28b-a%29%5E%7B2%7D%7D%7B12%7D%7D)
Arrival time of 9:18 am and a late arrival time of 9:41 am.
9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.
Mean:
![M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Ba%2Bb%7D%7B2%7D%20%3D%20%5Cfrac%7B0%2B23%7D%7B2%7D%20%3D%2011.5)
Standard deviation:
![S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%28b-a%29%5E%7B2%7D%7D%7B12%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B%2823%20-%200%29%5E%7B2%7D%7D%7B12%7D%7D%20%3D%206.64)
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Answer:
Hi! The answer to your question is x = 7
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
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Hope this helps!!
- Brooklynn Deka
Answer:
you won't roll the same number 5 times
Answer:
x=7.48
Step-by-step explanation:
13^2+x^2=15^2
169+x^2=225
x^2=56
x=7.48
First you add 1/2 and 3/4:
5/4n
5/4n = 12 so you divide both sides by 5/4
That gives you the answer of n= 9.6.
Hope this helped :)