Probability - One Event
Probability - Two Events
Statistics
Normal Distribution
Miscellaneous
100
The last 30 rentals at the lake were 14 stand up paddleboards, 6 peddle boats, and 10 rowboats. What is the empirical probability that the next rental is a paddleboard?
7/15 = 0.467
100
Two 6-sided dice are rolled. What is the probability of rolling a sum of 11?
1/18 = 0.056
100
What percent of students score above the the third quartile on the SAT's?
25%
100
What percent of normal data falls between a z-score of -2 and a z-score of 2?
95%
100
What do the numbers on the left (vertical axis) of a histogram represent?
Frequency
200
How many outcomes are in the sample space for the following experiment:
Flipping a coin 3 times
8
200
You are sending letters two two friends. If you randomly choose the envelopes, find P(red and blue).
1/6 = 0.167
200
Which branch of statistics deals with making predictions based on the data you have already collected?
Inferential Statistics
200
Find the z-score, rounded to two places, for a data value of 44 degrees, when the mean temperature is 52 degrees with a standard deviation of 3 degrees.
z = -2.67
200
If you can order coffee 2 ways (regular or decaf), with 3 milk choices (no milk, regular, almond milk) and 4 flavor choices (no flavor, vanilla, cinnamon, caramel), how many different coffee drinks could you order?
24
300
What is the probability of the spinner landing on $1 or $2?
1/4 = 0.25
300
A spinner lands on green half of the time, red one fourth of the time and yellow one fourth of the time.
If you spin twice, find the probability of landing on red then green.
1/8 = 0.125
300
If 3000 students were surveyed, how many chose Mathematics as their favorite subject?
570 students said math is their favorite subject.
300
What is the probability that a data value falls below a z-score of -2.78?
0.0027 = 0.27%
300
A survey finds that 42% of working adults has had a significant conflict with a co-worker in the past 3 months, with a margin of error of 5%. Find the 95% Confidence Interval.
(37%, 47%)
400
Choosing a card from a standard 52-card deck, find P(red and Ace).
1/26 = 0.038
400
A bag of marbles has 12 blue marbles, 14 green marbles and 10 brown marbles. You choose the first marble, then place it back in the bag and choose a second marble. Find P(green and brown).
35/324 = 0.108
400
Which set of data has a larger range?
Set 1: 21, 22, 22, 23, 23, 24
Set 2: 15, 18, 19, 20, 22, 26
Range of set 1 is 3
Range of set 2 is 9
Set 2
400
What percent of data falls above a z-score of 1.02?
15.39%
400
What is the formula for the midrange of a set of data?
midrange = (min + max) / 2
500
A D10 die is rolled (10 sides). What is the probability you roll an odd number or a number less than 7?
4/5 = 0.8
500
A Netflix queue has 3 dramas, 2 sci-fi movies, 3 comedies and 2 horror movies. If you randomly select two movies to watch tonight, what is the probability that you select at least one horror movie?
17/45 = 0.378
500
All current NFL players are grouped according to the position they most often play. 10 players from each position group are surveyed about coaching satisfaction. What type of sampling method was used?
Stratified Sampling
500
What percent of normal data falls between a z-score of -2 and a z-score of 2.3?
96.65%
500
A survey of 200 ACC students found that 31% of them plan to dress up on Halloween. What is the margin of error, rounded to the nearest tenth of a percent?
7.1%