Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when

where
is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:

Since

we can state that events are not independent.
Answer:
Step-by-step explanation:
Use the change-of-base rule.
Answer:
The probability is 0.057797
Step-by-step explanation:
Consider the provided information.
It is given that true percentage of voters who vote for the proposition is 63%,
Let p is probability of success.
According to the binomial distribution:

Substitute n=7, p=0.63 and x=2 in the above formula.


Hence, the probability is 0.057797
Answer:
If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:
$8.
Step-by-step explanation:
a) Data and Calculations:
The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)
The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)
The probability for the result to be 6 = 16.67% (100/6 * 1)
Data Table:
Event Probability Value Won
The result is 1 or 2 33.33% $0
The result is 3, 4 or 5 50.00% $4.00
The result is 6 16.67% $36.00
Expected Value:
Event Probability Value Expected Value
The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)
The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)
The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)
Total expected amount of money = $8.00
Y=mx+b
m=slope
b=y itnercept
remember the points go in (x,y) form
also, an easy way to find points is to subsitute values for x andn get values for y
so
6. y=5x-1
some points are (0,-1) (1,4) (2,9) (314)
7. y=-x+8
some points are (0,8) (1,7) (2,6) (3,5)
8. y=0.2x+.3
somepoints are (0,0.3) (1,0.5) (2,0.7) (3,0.9)
9. y=1.5x-3
somepoints are (0,-3) (1,-1.5) (2,0) (3,1.5)
10. y=-1/2x+4
somepoints are (0,4) (1,7/2) (2,3) (3,5/2)
11. y=2/3x-5
some points are (0,-5) (1,-13/3) (2,-11/3) (3,-3)