Answer:
The probability of 1 error in a period of 0ne - half minute is 0.1494
Step-by-step explanation:
Formula for poisson distribution:
![P (X = k) = \frac{\exp^{- \lambda} \lambda^{x} }{x!}](https://tex.z-dn.net/?f=P%20%28X%20%3D%20k%29%20%3D%20%5Cfrac%7B%5Cexp%5E%7B-%20%5Clambda%7D%20%5Clambda%5E%7Bx%7D%20%20%7D%7Bx%21%7D)
If there is an average of 1 error in 10 seconds
In one-half minutes (i.e. 30 seconds), there will be an average of 30/10 errors = 3 errors
![\lambda = 3 errors\\x = 1](https://tex.z-dn.net/?f=%5Clambda%20%3D%203%20errors%5C%5Cx%20%3D%201)
![P (X = 1) = \frac{\exp^{-3} 3^{1} }{1!}](https://tex.z-dn.net/?f=P%20%28X%20%3D%201%29%20%3D%20%5Cfrac%7B%5Cexp%5E%7B-3%7D%203%5E%7B1%7D%20%20%7D%7B1%21%7D)
1! = 1
![P (X = 1) = 3 \exp^{-3}](https://tex.z-dn.net/?f=P%20%28X%20%3D%201%29%20%3D%203%20%5Cexp%5E%7B-3%7D)
P(X = 1) = 3 * 0.0498
P(X = 1) = 0.01494
Answer:
103
Step-by-step explanation:
Q6 =
3+(21-1)5 = 103
Answer:
7.08
Choice A
Step-by-step explanation:
From the right-angled triangle we have been given the following;
One angle - 33 degrees
The hypotenuse - 13 units
We are required to determine the length of the side, opposite the angle, marked x.
Using the Mnemonic; SOHCAHTOA
The sine of an angle is; (opposite side)/(hypotenuse)
Therefore;
sin 33 = x/13
x = 13 * sin 33
x = 7.080
Answer:
d
Step-by-step explanation: