10.2, 10.3
Combination or Permutation
A multiple choice exam consists of six questions. In how many ways can exactly two questions be answered correctly?
Combination
In a deck of cards, what are the odds against drawing a spade from a standard 52-card deck?
3:1
A club consists of four men and five women. Three members are to be selected at random to form a committee.(Committee is made up of 3 people)
c) What is the probability that the committee will have only one gender on it?
1/6
MAD
Suppose we have the following dataset representing the ages (in years) of individuals in a sample population: 25, 30, 35, 40, 45, 50
7.5
Our standard deviation model is unimodal, what does this mean?
Where is the median located? Mean? Mode?
It has one peak.
It the middle of the peak
Combination or Permutation
In how many ways can tommy display his five different Mickey mantel cards at a baseball card show.
Permutation
In a bag of marbles, there are 6 red marbles, 4 blue marbles, and 2 green marbles. What are the odds in favor of selecting a blue marble from the bag?
1:2
If a license plate consists of three letters followed by three numbers, what is the
probability that the letters will be BMW in that order?
1/17576
Find the MAD for the following dataset: 3, 5, 7, 8, 10
2.08
How do you know if a score is good on a standard deviation question?
When the answer is above the mean.
At Dominos, you can buy personal one topping pizzas. You can choose from hand tossed or gluten free crust; ham, beef, salami, pepperoni, italian sausage, premium chicken, and philly steak; and provolone cheese, cheddar cheese, feta cheese, and shredded asiago cheese. If all of these pizza combination were listed, how many pizza would be listed?
56
George works in a Mexican restaurant that makes fresh guacamole using 3 avocado's per order. He often grabs a bad avocado and has to throw it out. If he randomly grabs 30 avocados of which 7 are bad, what is the probability that all of them are good?
253/580
There are ten seats left aboard an airplane, six of which are aisle seats and four of which are window seats. If three people about to board the plane are given seat numbers at random, what is the probability that they are all given aisle seats?
1/6
Suppose you have a frequency distribution table for the scores of students in a math test:
Score Range Frequency
60-69 5
70-79 8
80-89 12
90-99 6
100-109 3
Calculate the mean score of the students based on this frequency distribution.
80.63
The heights (in inches) of 10 students in a class are as follows:
62, 65, 58, 70, 68, 64, 72, 59, 67, 71
Calculate the quartiles (Q1, Q2, Q3) for the heights of these students.
What is the probability of rolling a sum of 8 when using 2 standard dice? What is the probability of not rolling a sum of 8?
5/36
31/36
A coin is tossed, and then a die is rolled. Use a tree diagram with probabilities on the branches to find probability distribution. Find the probability of getting a head on the coin and an even number on the die.
3/12 -> 1/4
The Kellogg Company is testing 12 new cereals for possible production. They are testing three oat cereals, four wheat cereals, and five rice cereals. If we assume that each
of the 12 cereals has the same chance of being selected and four of these will be produced, find the probability that:
a) no wheat cereals are selected
14/99
Suppose you have a frequency distribution table for the ages of participants in a marathon race:
Age Range Frequency
20-25 8
26-30 12
31-35 15
36-40 10
41-45 6
Calculate the mean age of the participants based on this frequency distribution.
In a study involving mastery learning, students took a pretest. The mean was 11.04 and the SD was 2.36. Find and explain the standard scores for the raw scores of 9 and 15 on the 20- question test.
-0.8644 and 1.677 approx.
Determine how many different computer passwords are possible if:
digits and letters cannot be repeated.
3 digits followed by 4 letters
258336000
What missing number will produce a mean of 66.3 with the following list of 5?
12, 34, 64, 32, 75,___
180.8
If you randomly draw two cards in succession without replacement, from the same deck, what is the probability of drawing a king and a queen in that order?
4/663
Name the graphs you use for numerical data. Categorical Data?
Numerical: Histogram, frequency polygon, time series graphs, and box and whisker plots.
Categorical: Bar graph, pie charts
Box and Whiskers
The test scores of a class of 25 students in a mathematics exam are as follows:
87, 92, 65, 78, 81, 90, 88, 72, 75, 83, 79, 95, 70, 85, 91, 84, 77, 73, 89, 82, 76, 86, 94, 80, 74
The line within the box represents the median (Q2), which is 83.
The lower edge of the box represents Q1, which is 76.
The upper edge of the box represents Q3, which is 88.
The "whiskers" extend from the box to the minimum and maximum values of the data set, which are 65 and 95, respectively.