Haileys work is correct so B should be the right answer
Answer:
(
1
,
∞
)
Step-by-step explanation:
Interval notation rounds up to infinite
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:
5
x^2 + 2y^2 + 12x + 5y
Step-by-step explanation:
6x + 2y +y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y
12x +y^2 + 4y + y^2 + 4x^2 + x^2 + y
12x + 2y^2 + 4x^2 + x^2 + 5y
2y^2 + 5x^2 + 12x + 5y
5
x^2 + 2y^2 + 12x + 5y
Answer:
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
Step-by-step explanation:
Let
Number of students tickets sold = x
Number of adults tickets sold = y
x + y = 530 (1)
3x + 4y = 1740 (2)
From (1)
x = 530 - y
Substitute x = 530 - y into (2)
3x + 4y = 1740
3(530 - y) + 4y = 1740
1590 - 3y + 4y = 1740
- 3y + 4y = 1740 - 1590
y = 150
Substitute y = 150 into (1)
x + y = 530
x + 150 = 530
x = 530 - 150
x = 380
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets