We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12

By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192

When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))

Since P(B|A) does not equal to P(B), event A and event B are not independent.

Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>

4 0

3 years ago

Blake bought a total of 24

Harman [31]

5/8 = 0.625 = 62.5%

If 62.5% were glazed then you must find 62.5% of 24.

Equation…

x=0.625(24) = 15

if each costs $0.84 cents plus tax then you will multiply by 15.

15 x .84 = 12.6

The total cost was $12.60

3 0

3 years ago

Read 2 more answers

Find the midpoint between points (15,-5) and (8,8)

elena-s [515]

15 + 8= 23
23/2 = 11.2

-5 + 8 = 3
3/2= 1.5
Answer is (11.2,1.5)

5 0

2 years ago

I know the answer to 255.5 ➗ 7 but how would you write it out.. (I'm not smart)

Ainat [17]

There are several ways such as
255 $\frac{1}{2}$ / 7

First put it in the decimal equation
Since there is a decimal in the number being divided(255.5), you move the decimal so that it is a whole number(2555) but since you move the decimal place once, you do the same to the 7 so that it is now 70. So now it's 2555/70 which looks like 365 but then, you have to place the decimal value so that it is now 36.5
This is what you use to divide as shown.

3 0

2 years ago