Answer:
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
No
No
Step-by-step explanation:
Given :
Sample, size n = 500
A = driver is under the influence of alcohol :
Y = driver is less than 30 years old
P(A) = 275 / 500 = 0.55
P(Y) = 375 / 500 = 0.75
P(AnY) = 225 / 500 = 0.45
P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
To determine if it is mutually exclusive : P(AnY) = 0
P(AnY) = 0.45 ; hence, it is not mutually exclusive
For A and Y to be independent ; P(A|Y) = P(A) ;
P(A|Y) = P(AnY) / P(Y)
P(A|Y) = 0.45 / 0.75 = 0.6
Hence, A and Y are not independent.
Answer:
<h2>7n + 28</h2>
Step-by-step explanation:
Expand
Answer:
The domain is 
and its range is 
The y-intercept is (0,3).
Step-by-step explanation:
Consider the parent function 
Its domain is 
and its range is 
The graph of the function 
is obtained from the graph of parent function by translation 3 units up (see diagram). This translation doesn't change the domain and will change the range of the function, thus the domain is and its range is
To find th y-intercept you have to find y at x=0:
Hence, the y-intercept is (0,3).
Which number(s) from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if any, will solve this equation?
satela [25.4K]
We are given that:
2x + 3 = 5x - 3
We will solve the given to get the value of x as follows:
2x + 3 = 5x - 3
3 + 3 = 5x - 2x
6 = 3x
x = 6/3
x = 2
Now, we will check te given set to see if 2 belongs to the set or not. We will find that 2 is an element in the given set.
Therefore, the correct choice is:
A) {2}
hope this helps :)
Amount of decreased water = 3/10
Then, it would be 3/10 * 100 = 30%
So, your answer is 30%
