Answer with Step-by-step explanation:
We are given that two events A and B are mutually exclusive.
![A\cap B=\phi](https://tex.z-dn.net/?f=A%5Ccap%20B%3D%5Cphi)
![P(A\cap B)=0](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D0)
![P(A)\neq 0](https://tex.z-dn.net/?f=P%28A%29%5Cneq%200)
![P(B)\neq 0](https://tex.z-dn.net/?f=P%28B%29%5Cneq%200)
a.For mutually exclusive events,
![P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{P(A)}=0](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%3D%5Cfrac%7B0%7D%7BP%28A%29%7D%3D0)
Therefore, event A can not occurred if event B has occurred because two events can not occur together.
Answer:No, by definition mutually exclusive events cannot occur together.
b.When two events are independent
Then , ![P(A\cap B)=P(A)\cdot P(B)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28A%29%5Ccdot%20P%28B%29)
![P(A/B)=\frac{P(A)\cdot P(B)}{P(B)}=P(A)](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7BP%28A%29%5Ccdot%20P%28B%29%7D%7BP%28B%29%7D%3DP%28A%29)
If two events are mutually exclusive then
![P(A\cap B)=0](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D0)
Then , ![P(A/B)=0](https://tex.z-dn.net/?f=P%28A%2FB%29%3D0)
Therefore, ![P(A/B)\neq P(A)](https://tex.z-dn.net/?f=P%28A%2FB%29%5Cneq%20P%28A%29)
Hence, we can concluded that events A and B are not independent if they are mutually exclusive.
Answer:Yes, ![P(A/B)\neq P(A)](https://tex.z-dn.net/?f=P%28A%2FB%29%5Cneq%20P%28A%29)
Answer:
.92 cents for two cans
Step-by-step explanation:
if a six pack is $2.79, divide by six to see how much they cost individually, which is .46 so multiple .46 times 2 for two cans.
Answer:
+9-22=-13
Step-by-step explanation:
Its 13 yrds lost
The answer is <span>x < −8
</span>
<span>3 − (2x − 5) < −4(x + 2)
3 - 2x + 5 < -4x - 8
8 - 2x < -4x - 8
4x - 2x < -8 - 8
2x < -16
x < -8</span>
Answer:
9.42
Step-by-step explanation:
Breaking the phrase down:
'Nine' would be the number 9 in the ones place.
'And' represents the decimal in a number. ('.')
'Forty-Two Hundredths" is 0.42.
So, "nine and forty-two hundredths" would be 9.42.
Hope this helps.