Answer:
30% probability a randomly selected household has no Internet access given the household owns corporate stock
Step-by-step explanation:
I am going to say that we have two events.
Event A: Owning corporate stock. So P(A) = 0.54.
Event B: Having no internet access. So P(B) = 0.3.
Since they are independent events, we can apply the conditional probability formula, which is:
In which
P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.
is the probability of both events happening.
Since they are independent
So
30% probability a randomly selected household has no Internet access given the household owns corporate stock
Let 
denote the value on the 
-th drawn ball. We want to find the expectation of 
, which by linearity of expectation is
![E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]](https://tex.z-dn.net/?f=E%5BS%5D%3DE%5Cleft%5B%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E5B_i%5Cright%5D%3D%5Csum_%7Bi%3D1%7D%5E5E%5BB_i%5D)
(which is true regardless of whether the 
are independent!)
At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.
and so
![E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5](https://tex.z-dn.net/?f=E%5BX_i%5D%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E%7B10%7Dx%5C%2CP%28X_i%3Dx%29%3D%5Cfrac1%7B10%7D%5Cfrac%7B10%2810%2B1%29%7D2%3D5.5)
Then the expected value of the total is
![E[S]=5(5.5)=\boxed{27.5}](https://tex.z-dn.net/?f=E%5BS%5D%3D5%285.5%29%3D%5Cboxed%7B27.5%7D)
Answer:
2.5 yards
Step-by-step explanation:
75÷30=2.5 yards
Hope this helps!
Answer:
y=4/3x+2
Step-by-step explanation:
y=mx+b
b is y intercept, and in this case, 2
m is the slope, and in this case, 4/3
Hope this answers your question.
Looking at the graph, we know that A. 3 boxes are filled every 4 min and D. 0.75 boxes are filled per minute are the correct answers.
Hope this helps~
