120 students voted for Jennifer and 180 students voted for Kevin. 60 students voted more for Kevin than for Jennifer.
Answer:
0.25
Step-by-step explanation:
3/12 = 1/4
1÷4= 0.25

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

"Chocolate" has the marginal distribution given by the second column, with a total probability of

. Similarly, "Adults" has the marginal distribution described by the third row, so that

. Then

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with

.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;


c. Yes;

Answer:
F = 6x
O = -3x
I = 10x
L = -5
Step-by-step explanation:
FOIL follows the formula:
(a + b)(c + d) = ac + ad + bc+ bd
Answer:
(-9/8, 1/36)
Step-by-step explanation:
Midpoint Formula: 
Step 1: Find midpoint <em>x</em>
x = (1/4 + -5/2)/2
x = (-9/4)/2
x = -9/8
Step 2: Find midpoint <em>y</em>
y = (-4/9 + 1/2)/2
y = (1/18)/2
y = 1/36
Step 3: Write midpoint coordinates
(-9/8, 1/36)