Answer:
-2x-12
Step-by-step explanation:
Answer:
first one should be SAS
second one should be the third choice
Answer:
The correct answer is (40, 60) and (80,120) D
Step-by-step explanation:
Answer:
a) P(1) = 0.1637
b) ![P(x\geq 2) = 0.0176](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%20%3D%200.0176)
c) E(x) = 0.2
Step-by-step explanation:
If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:
![P(x)=\frac{e^{-m}*m^x}{x!}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cfrac%7Be%5E%7B-m%7D%2Am%5Ex%7D%7Bx%21%7D)
Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:
![P(1)=\frac{e^{-0.2}*0.2^1}{1!}=0.1637](https://tex.z-dn.net/?f=P%281%29%3D%5Cfrac%7Be%5E%7B-0.2%7D%2A0.2%5E1%7D%7B1%21%7D%3D0.1637)
Additionally, the probability that a disk has at least two missing pulses can be calculated as:
![P(x\geq 2)=1-P(x](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-P%28x%3C2%29)
Where
.
Then,
and
are calculated as:
![P(0)=\frac{e^{-0.2}*0.2^0}{0!}=0.8187\\P(x\geq 2) = 1 - (0.8187 + 0.1637)\\P(x\geq 2) = 0.0176](https://tex.z-dn.net/?f=P%280%29%3D%5Cfrac%7Be%5E%7B-0.2%7D%2A0.2%5E0%7D%7B0%21%7D%3D0.8187%5C%5CP%28x%5Cgeq%202%29%20%3D%201%20-%20%280.8187%20%2B%200.1637%29%5C%5CP%28x%5Cgeq%202%29%20%3D%200.0176)
Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2
Answer:2:5
Step-by-step explanation: 5 days rain and 2 days didn't rain
2:5