im assuming you need to know the length of the 7 equal bits of ribbon. the original length of ribbon - the length of ribbon left over = 7x
170.9-16.2=154.7. 154.7/7=x = 22.1
each length of ribbon was 22.1 inches long
Answer:
The probability that another accident will occur that same month = 0.44907
Step-by-step explanation:
Let consider X to be the random variable that follows an exponential distribution with a mean of 52.
The mean of the exponential distribution ![\dfrac{1}{\lambda } = 52 \implies \lambda = \dfrac{1}{52}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%2052%20%5Cimplies%20%5Clambda%20%3D%20%5Cdfrac%7B1%7D%7B52%7D)
Thus, the probability distribution of X is:
![f(x) = \lambda e ^{-\lambda x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Clambda%20e%20%5E%7B-%5Clambda%20x%7D)
![f(x) =\dfrac{1}{52} e ^{-x/52} \ \ \ \ x \geq 0](https://tex.z-dn.net/?f=f%28x%29%20%3D%5Cdfrac%7B1%7D%7B52%7D%20e%20%5E%7B-x%2F52%7D%20%20%20%20%20%5C%20%5C%20%5C%20%5C%20x%20%5Cgeq%200)
Suppose X represents the time interval between the accident that happened in October 1 and the following accident.
Then, the probability that another accident will occur in the same month is the same as the event that the time between the two accidents are less than 31 (given that the month of October have 31 days)
Thus, we can calculate the required probability as follows:
![P(X \leq 31) = \int ^{31}_{0} \ f(x) \ dx](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2031%29%20%3D%20%5Cint%20%5E%7B31%7D_%7B0%7D%20%5C%20f%28x%29%20%5C%20dx)
![P(X \leq 31) = \int ^{31}_{0} \ \dfrac{1}{52} \ e^{-x/52} \ dx](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2031%29%20%3D%20%5Cint%20%5E%7B31%7D_%7B0%7D%20%5C%20%5Cdfrac%7B1%7D%7B52%7D%20%5C%20e%5E%7B-x%2F52%7D%20%5C%20dx)
![P(X \leq 31) = 1 - e^{-31/52}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2031%29%20%3D%201%20-%20e%5E%7B-31%2F52%7D)
![\mathbf{P(X \leq 31) = 0.44907}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28X%20%5Cleq%2031%29%20%3D%200.44907%7D)
Thus, the probability that another accident will occur that same month = 0.44907
Answer:
0.15
Step-by-step explanation:
The probability would be the amount of times the pointer landed on purple divided by the total times the pointer was spun.
This would be 13/(18+15+20+18+13) = 13/84 = 0.15476
The anwer is, DV
Hope this helps
Answer:
300
Step-by-step explanation:
The total number of ratio units in 6:5 is 6+5=11, so each of those ratio units must stand for 550/11 = 50 detectives. Then the 6 ratio units of police detectives stand for 6·50 = 300 police detectives.