How do you know when to use Combination?
When order does not matter
How do you know when to use a Permutation.
When order matters.
How do you know when to use a Binomial Probability?
Whenever you can define a specific number of successes.
What is the value of the most frequent data point in this plot?
4. (There were 4 data points valued at 4. The next most frequent was a tie between 31 and 32 - both with three data points at this value).
What is a factorial?
A series of multiplications starting with a given number decreasing all the way down to 1
9 C 2 = ?
36
11 P 3 = ?
990
What does the phrase "at least" tell you that you have to do?
You have to do the problem multiple times where r is the given number decreasing all the way to 0.
Read this formula out loud:
"Standard Deviation equals the square root of the sum of the differences between data points and the mean of the set squared divided by the sample size"
10! = ?
3628800
How many different ways can 6 team members be chosen from 14 who try out?
3,003
How many different ways can a president, secretary, and treasurer be elected from a group of 10 students?
720
What is the probability that you will get 6 questions correct on a 10 question true/false test?
Hint: "The ten"
1 10 45 120 210 252 210 120 45 10 1
0.2051
"The ten"
1 10 45 120 210 252 210 120 45 10 1
210 (.5)^6(.5)^4
What are the mean, median, and mode for this data?
How many different ways could you rearrange the letters in the word: ACALCULIA
362880
You and 59 other students are applying to be on "The Price is Right". If they are selecting five people from the audience, how many groups of applicants can be selected?
5,461,512
You and fourteen other students are running in a race. How many different ways could they award first and second place?
210
15 x 14 = 210
What is the probability that you will get all of the questions correct on a 15 question multiple choice test (with A, B, C, and D as your possible answers for each question) if you have no idea how to do any of the problems (and so randomly guess)?
0.000000000931
(1) x (.24)^15 x (.75)^0 = .000000000931
What is the Interquartile Range for this data?
How many different ways can you arrange the letters in the word: SUPERSTITION
479,001,600
You and nineteen other students walk into school when you notice a news station van parked out front. The reporter tells your group that they will be randomly selecting five of you to interview. What is the probability that you and your close group of 4 other teenagers will be interviewed?
1/15504
From a deck of 52 cards, what are the odds that you pick a red card followed by a black card in two draws? You put the queen back after drawing it.
.25
What is the probability that you will get at most 3 out of 5 questions correct on a true/false quiz?
0.8125
Calculate the standard deviation of the data values:
45, 35, 42, 49, 39, and 34.
5.312
What is the probability that you will get one or two questions correct on a 10 question true/false test?
0.0537