Answer:
for independent A and B, P(A|B) = P(A)
Step-by-step explanation:
The definition of conditional probability is ...
P(A|B) = P(A&B)/P(B)
When A and B are independent, ...
P(A&B) = P(A)·P(B)
so the conditional probability is ...
P(A|B) = (P(A)·P(B))/P(B) = P(A) . . . . . for independent A and B
In words, when A and B are independent, the probability of A given B is the same as the probability of A. That is, the probability of B has no effect on the probability of A.
find the mean 164,175,178,166,167,145,176,150,174,162,180,156,173,158,182,184,160,172,186,168,195,169,171,187,170
shtirl [24]
Answer:
170.72
Step-by-step explanation:
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
Answer:
answer: b) x = 3, x = -1
Step-by-step explanation:
3|2x - 2| + 6 = 18.
divid by 3 :
|2x - 2| + 2 = 6
add -2 : |2x - 2| = 4
2x-2=4 or 2x-2=-4
2x=6 or 2x=-2
x=3 or x=-1
The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).
<h3>What are domain and range?</h3>
The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = 3x² + 6x – 8
The range of the function will be
f(x) = 3x² + 6x – 8
f(x) = 3x² + 6x + 3 – 11
f(x) = 3(x² + 2x + 1) – 11
f(x) = 3(x + 1)² – 11
Then the range of the function will be from -11 to infinity.
More about the domain and range link is given below.
brainly.com/question/12208715
