Answer:
is it math or science
Step-by-step explanation:
tobrhonestIreallyhatemathhhuhuu
Answer:
<u>23</u>
Step-by-step explanation:
The 12 hour clock doesn't go past 12 on the first 2 digits (hour).
The 24 hours goes 13:, 14:, 15: and so on.
We now have to figure out "4" largest numbers on the 12-hr clock and add them to get the max sum out of them.
The hours are:
00
01
02
...
09
10
11
12
The largest sum would be that of "09"
Now, the minutes:
59 is the highest minute and that will give us the highest sum
So, the time we are looking for is:
09:59
The sum is:
0 + 9 + 5 + 9 = <u>23</u>
Answer:

And we can calculate this with the complement rule like this:

And using the cdf we got:
![P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480](https://tex.z-dn.net/?f=%20P%28X%3E2%29%20%3D%201-%20%5B1-%20e%5E%7B-%5Clambda%20x%7D%5D%20%3D%20e%5E%7B-%5Clambda%20x%7D%20%3D%20e%5E%7B-%5Cfrac%7B1%7D%7B2.725%7D%20%2A2%7D%3D%200.480)
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable of interest:

Solution to the problem
We want to calculate this probability:

And we can calculate this with the complement rule like this:

And using the cdf we got:
![P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480](https://tex.z-dn.net/?f=%20P%28X%3E2%29%20%3D%201-%20%5B1-%20e%5E%7B-%5Clambda%20x%7D%5D%20%3D%20e%5E%7B-%5Clambda%20x%7D%20%3D%20e%5E%7B-%5Cfrac%7B1%7D%7B2.725%7D%20%2A2%7D%3D%200.480)