divide the area of the circle by 6 and the answer equals one individual section
Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
![X \sim Poisson (0.5)](https://tex.z-dn.net/?f=X%20%5Csim%20Poisson%20%280.5%29)
![\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)](https://tex.z-dn.net/?f=%5Ctext%7BP%28collision%20occurs%29%20%3D%201%20-%20P%28no%20car%20coming%20in%20the%20following%205%20seconds%29%7D%20%5C%5C%20%5C%5C%20%3D1%20-%20P%28X%3D0%29)
![= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}](https://tex.z-dn.net/?f=%3D%201-%20%5Cdfrac%7B%5Be%5E%7B-0.5%5Ctimes%200.5%5E0%7D%5D%7D%7B0%21%7D)
![= 1 - e^{-0.5}](https://tex.z-dn.net/?f=%3D%201%20-%20e%5E%7B-0.5%7D)
![= 1 - 0.6065](https://tex.z-dn.net/?f=%3D%201%20-%200.6065)
![= 0.3935](https://tex.z-dn.net/?f=%3D%200.3935)
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
![Y \sim Poisson (0.2)](https://tex.z-dn.net/?f=Y%20%5Csim%20Poisson%20%280.2%29)
![\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)](https://tex.z-dn.net/?f=%5Ctext%7BP%28collision%20occurs%29%20%3D%201%20-%20P%28no%20car%20coming%20in%20the%20following%202%20seconds%29%7D%20%5C%5C%20%5C%5C%20%3D1%20-%20P%28Y%3D0%29)
![= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}](https://tex.z-dn.net/?f=%3D%201-%20%5Cdfrac%7B%5Be%5E%7B-0.2%5Ctimes%200.2%5E0%7D%5D%7D%7B0%21%7D)
![= 1 - e^{-0.2}](https://tex.z-dn.net/?f=%3D%201%20-%20e%5E%7B-0.2%7D)
![= 1 - 0.8187](https://tex.z-dn.net/?f=%3D%201%20-%200.8187)
![= 0.1813](https://tex.z-dn.net/?f=%3D%200.1813)
Answer:
6,864.57
Step-by-step explanation:
That's the answer
Answer:
Step-by-step explanation:
radius r = 10/2 = 5 ft
height h = 5 ft
Volume = πr²h = π(5²)(5) = 125π ≈ 392.7 ft³
Answer:
1657.92
Step-by-step explanation:
if you use just 3.14 for π (pi)