
Look at the square root like "x", then
The answer isn't A or B because those two are not factored. D is wrong because 8•8=64 not 16. So that leaves us with C (4•4=16).
Answer:
0.98046
Step-by-step explanation:
Given:
Here we are required to find
P(5.48 <X<5.82) and between 5.48 and 5.82 we each z-score given by
<em>z = (x - μ) / σ</em>
So 5.48 we have z = -2.714 and 5.82 we have z = 2.143
Therefore we have the area of interest on the normal distribution chart given by
:
P( -2,714 < z < 2.143)
= 1 - P(Z<-2.714) + P(Z > 2.143)
= 1 - P(Z<-2.714) + (1 - P(Z < 2.143))
= 1 - 0.00336 + 1 - 0.98382
= 1 - 0.01954 = 0.98046
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: