Answer:
56%
Step-by-step explanation:
when you divide the number of doubles by the number of possible outcomes you get 56%
Hi! what’s the question? i believe you only put two answers
First let's figure out the angle of the green beans section - this would be 360 minus the total of the other two angles:
360 - (98 + 195)
= 360 - 293
= 67°
Now the formula for the circumference of a circle is circumference = πd, but since we have only a section of the circle we need to multiply this by the angle of our section/the sum of angles in a circle, ie.:
Circumference = 12π*(67/360)
= 67π/30
= 7 inch (to the nearest whole number)
Therefor F is the correct answer
Answer:
a) E(X)=1
b) σ=1
c) P(X>1)=0.368
d) P(2<X<5)=0.128
Step-by-step explanation:
We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.
a) We have to compute the expected time between two successive arrivals.
The expected value for X as it is exponentially distributed is:
![E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1](https://tex.z-dn.net/?f=E%28X%29%3D%5Cdfrac%7B1%7D%7B%5Clambda%7D%3D%5Cdfrac%7B1%7D%7B1%7D%3D1)
b) We have to compute the standard deviation of X.
The standard deviation is calculated as:
![\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1](https://tex.z-dn.net/?f=%5Csigma%3D%5Cdfrac%7B1%7D%7B%5Clambda%7D%3D%5Cdfrac%7B1%7D%7B1%7D%3D1)
c) The probability that X is larger than 1 (P(X>1))
We can express the probability as:
![P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368](https://tex.z-dn.net/?f=P%28X%3Et%29%3De%5E%7B-%5Clambda%20t%7D%5C%5C%5C%5CP%28X%3E1%29%3De%5E%7B-%5Clambda%5Ccdot%201%7D%3De%5E%7B-1%7D%3D0.368)
d) The probability that X is between 2 and 5 (P(2<X<5))
![P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2](https://tex.z-dn.net/?f=P%28X%3Et%29%3De%5E%7B-%5Clambda%20t%7D%5C%5C%5C%5C%5C%5CP%282%3CX%3C5%29%3DP%28X%3E2%29-P%28X%3E5%29%5C%5C%5C%5CP%282%3CX%3C5%29%3De%5E%7B-%5Clambda%5Ccdot%202%7D-e%5E%7B-%5Clambda%5Ccdot%205%7D%3De%5E%7B-2%7D-e%5E%7B-5%7D%3D0.135-0.007%5C%5C%5C%5CP%282%3CX%3C5%29%3D0.128)
Answer:
if 6 room are booked , she need to supply to 12 tower
mark as brainliest