SLIDE 1
PROBLEM
The table below shows the number of M&Ms and Skittles in another class’ candy mixture. Use the data in the table to complete the problems that follow.
RED ORANGE YELLOW GREEN BLUE PURPLE BROWN
1. What is the joint frequency of female students who prefer Pizza? - - PowerPoint PPT Presentation
1. What is the joint frequency of female students who prefer Pizza? - - PowerPoint PPT Presentation
D AY 59 J OINT F REQUENCIES P ROBLEM The table below shows the number of M&Ms and Skittles in another class candy mixture. Use the data in the table to complete the problems that follow. RED ORANGE YELLOW GREEN BLUE PURPLE
SLIDE 2
SLIDE 3
- 1. MARGINAL PROBABILITY
a) Write an example event in words. b) Find the value of the probability.
RED ORANGE YELLOW GREEN BLUE PURPLE BROWN
TOTAL
M & M’s 12 6 8 14 10 8 58 Skittle’s 9 11 7 10 7 5 49 TOTAL 21 17 15 24 17 5 8 107
SLIDE 4
- 2. JOINT PROBABILITY
a) Write an example event in words. b) Find the value of the probability.
RED ORANGE YELLOW GREEN BLUE PURPLE BROWN
TOTAL
M & M’s 12 6 8 14 10 8 58 Skittle’s 9 11 7 10 7 5 49 TOTAL 21 17 15 24 17 5 8 107
SLIDE 5
- 3. CONDITIONAL PROBABILITY
a) Write an example event in words. b) Find the value of the probability.
RED ORANGE YELLOW GREEN BLUE PURPLE BROWN
TOTAL
M & M’s 12 6 8 14 10 8 58 Skittle’s 9 11 7 10 7 5 49 TOTAL 21 17 15 24 17 5 8 107
SLIDE 6
PROBLEM
Jessica surveys students at her school about their favorite food. She recorded the responses in the table below.
PIZZA CHICKEN STEAK FRENCH FRIES TOTALS MALES 14 10 6 7 FEMALES 12 13 4 8 TOTALS
SLIDE 7
- 1. What is the joint frequency of female students
who prefer Pizza?
PIZZA CHICKEN STEAK FRENCH FRIES TOTALS MALES 14 10 6 7 FEMALES 12 13 4 8 TOTALS
SLIDE 8
2. What is the joint frequency of male students
who prefer Steak?
PIZZA CHICKEN STEAK FRENCH FRIES TOTALS MALES 14 10 6 7 FEMALES 12 13 4 8 TOTALS
SLIDE 9
3. What is the marginal frequency for each type
- f food?
PIZZA CHICKEN STEAK FRENCH FRIES TOTALS MALES 14 10 6 7 FEMALES 12 13 4 8 TOTALS
SLIDE 10
4. What is the marginal frequency for each
gender?
PIZZA CHICKEN STEAK FRENCH FRIES TOTALS MALES 14 10 6 7 FEMALES 12 13 4 8 TOTALS
SLIDE 11
5. Given that the student is female, what is the
frequency that she likes french fries?
PIZZA CHICKEN STEAK FRENCH FRIES TOTALS MALES 14 10 6 7 FEMALES 12 13 4 8 TOTALS
SLIDE 12
ANSWER KEY
1.
- a. An example of a student response might be to
randomly select an M&M from the classroom “mix” of
- candy. This is marginal probability because only one
characteristic needs to occur.
- b. Then, the probability of this would be 58/107.
2.
- a. An example of a student response might be to
select the event of a purple Skittle selected at random. This is a joint probability because the outcome requires that two characteristics occur at the same time.
- b. Then, the probability would be 5/107.
3.
- a. An example of a student response might be to pose
the question, “If a green candy is selected, what is the probability that it is a Skittle?”. This is a conditional probability because one condition is given, restricting the sample space that needs to be considered.
- b. Then, the probability would be 10/24, as only the
“Green” candy column is considered.
SLIDE 13
- 1. 12/37
- 2. 6/37
- 3. Pizza. 23/74 = 13/37
- Chicken. 23/74 = 13/37
- Steak. 10/74 = 5/37
French Fries 15/74 4.Male 37/74 = ½ Female 37/74 = ½
- 5. 8/37