Independence
Z-Scores
Empirical Rule
End Behavior
Easy Division Problems
100
Determine the probability of a cell phone, given no MP3 player.
21/30 or 7/10
100
A normal distribution has mean 100 and standard deviation 12.
Given the data point 80, determine the number of standard deviations away from the mean.
(80-100)/12=-1.67
100
A scientific study arrives at a mean of 450 and standard deviation of 30. Find the interval containing the middle 95% of data.
Between 390 and 510
100
Determine the end behavior of the polynomial f(x)=x5.
As x approaches -inf, f(x) approaches ____.
As x approaches +inf, f(x) approaches ____.
As x approaches -inf, f(x) approaches -inf.
As x approaches +inf, f(x) approaches +inf.
100
The result when x3+12x2+23x+6 is divided by x+2.
x2+10x+3
200
Determine the probability of having been to Canada.
Determine the probability of having been to Mexico.
P("have been to Canada")=11/25
P("have been to Mexico")=9/25
200
Student A scored 75 on an exam with mean 50 and standard deviation 20.
Student B scored 84 on an exam with mean 75 and standard deviation 8.
Determine which student scored better relative to the mean. (Hint: compare students' z-scores).
"Student A" = (75-50)/20=1.2
"Student B" = (84-75)/8=1.125
"Therefore, A scored better."
200
A scientific study arrives at a mean of 500 and a standard deviation of 25. Find the percentage of data that falls between 425 and 475.
15.7%
200
Determine the end behavior of the polynomial f(x)=-196-7x2-77x.
As x approaches -inf, f(x) approaches ____.
As x approaches +inf, f(x) approaches ____.
As x approaches -inf, f(x) approaches -inf.
As x approaches +inf, f(x) approaches -inf.
200
The result when 4x3+14x2+24x+9 is divided by 2x+1.
2x2+6x+9
300
Determine if English class and math class are independent events. Justify your answer.
P("English class")=6/10
P("Math class")=5/10
P("English AND math classes")=4/10
6/10*5/10ne4/10, "so English and math are not independent"
300
Student A scored 95 on an exam with mean 75 and standard deviation 10.
A second exam has mean 80 and standard deviation 10.
Determine how well A must score to achieve the same z-score on the second exam.
"First exam z-score"=(95-75)/10=2
2=(x-80)/10
x=100
"Therefore, A must score 100 on the second exam."
300
A scientific study finds that the middle 68% of data falls between 520 and 660. Determine the interval containing the middle 99.7% of data.
Between 380 and 800
300
Determine the end behavior of the exponential function f(x)=5x+1.
As x approaches -inf, f(x) approaches ____.
As x approaches +inf, f(x) approaches ____.
As x approaches -inf, f(x) approaches 1.
As x approaches +inf, f(x) approaches +inf.
300
The result when 12x3+19x2-26x-16 is divided by 4x+9.
3x^2-2x-2 + 2/(4x+9)