Answer:
P(A|D) and P(D|A) from the table above are not equal because P(A|D) = and P(D|A) =
Step-by-step explanation:
Conditional probability is the probability of one event occurring with some relationship to one or more other events
.
P(A|D) is called the "Conditional Probability" of A given D
P(D|A) is called the "Conditional Probability" of D given A
The formula for conditional probability of P(A|D) = P(D∩A)/P(D)
The formula for conditional probability of P(D|A) = P(A∩D)/P(A)
The table
↓ ↓ ↓
: C : D : Total
→ A : 6 : 2 : 8
→ B : 1 : 8 : 9
→Total : 7 : 10 : 17
∵ P(A|D) = P(D∩A)/P(D)
∵ P(D∩A) = 2 ⇒ the common of D and A
- P(D) means total of column D
∵ P(D) = 10
∴ P(A|D) =
∵ P(D|A) = P(A∩D)/P(A)
∵ P(A∩D) = 2 ⇒ the common of A and D
- P(A) means total of row A
∵ P(A) = 8
∴ P(D|A) =
∵ P(A|D) =
∵ P(D|A) =
∵ ≠
∴ P(A|D) and P(D|A) from the table above are not equal
Step-by-step explanation:
Answer:
so to find slope for ordered pairs do y-y over x-x make sure the ordered pairs match up vertically
Answer: -8
Explanation: If g(x) = x² + 2x - 8, then g(-2) = (-2)² + 2(-2) - 8
which simplifies to 4 + (-4) - 8 or 0 - 8 which is -8.
Remember to always use parentheses when
substituting your given value in for <em>x</em>.
Answer:
$160.75
Step-by-step explanation:
Step one:
given data
The resort charges $20.75 per hour in addition to a $35 deposit to rent a snowboard
The time spent from 8:30 am to 12:30 pm = 4hours
Step two:
Let the number of hours be and the total cost be y
Now the expression for the situation can be represented as
y= 20.75+35x
for x= 4
y=20.75+35(4)
y=20.75+140
y=160.75
Answer:
h= $3.50
Step-by-step explanation:
$2.50 + 3h = $13
3h = $13 - $2.50
h = $10.50 ÷3
h= $3.50
