60 divided by 0.4(40%)=150
=150
Answer:
0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Mean of 0.6 times a day
7 day week, so ![\mu = 7*0.6 = 4.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%207%2A0.6%20%3D%204.2)
What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.
![P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)](https://tex.z-dn.net/?f=P%28X%20%3C%203%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%2B%20P%28X%20%3D%202%29)
In which
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
![P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20%5Cfrac%7Be%5E%7B-4.2%7D%2A%284.2%29%5E%7B0%7D%7D%7B%280%29%21%7D%20%3D%200.0150)
![P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20%5Cfrac%7Be%5E%7B-4.2%7D%2A%284.2%29%5E%7B1%7D%7D%7B%281%29%21%7D%20%3D%200.0630)
![P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20%5Cfrac%7Be%5E%7B-4.2%7D%2A%284.2%29%5E%7B2%7D%7D%7B%282%29%21%7D%20%3D%200.1323)
So
![P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103](https://tex.z-dn.net/?f=P%28X%20%3C%203%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%2B%20P%28X%20%3D%202%29%20%3D%200.0150%20%2B%200.0630%20%2B%200.1323%20%3D%200.2103)
0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.
Answer:60 miles per hour
Step-by-step explanation:
Answer:
43,81
Step-by-step explanation:
sin ? = 9/13
sin ?= 43,81