Download probability terms

Probability
Probability of simple events
Know the meaning of the terms:
a) Probability
b) Outcome
c) Sample Space
d) Event
Here is how these terms apply to finding
the probability of rolling an even number
on a number cube:
More probability terms
Complement
probability
If all the names of the months are put on separate pieces of paper and
one piece is drawn at random, what is the probability that the month
begins with the letter J?
Experimental probability
Probability of Compound Events
Look at the marbles at the left. If you select two marbles
randomly, find the probability of the following:
a) Selecting a blue and a red marble if the first marble is
replaced before the second one is selected
This is an example of independent events and so the answer
is 5/10 . 3/10 = 15/100 or 3/20
b) Selecting two red marbles if the first one is not replaced?
This is an example of dependent events because the result of
the second draw depends on what was drawn first. The
answer is 3/10 . 2/9 = 6/100 or 3/50
Measures of Central Tendency:
Mean, Median and Mode
Find the mean, median & mode of:
42,18,55,37,57,37,48,47,37
42, 42, 37
Stem & Leaf Plots
A stem & leaf plot of the following data
4.5 4.3 0.8 3.5 2.6 1.4 0.2 0.8 4.3 6.0
would look like:
Types of Data
Regents Practice Questions
1.Which set of data describes a situation that could be classified
as qualitative?
1)
the colors of the birds at the city zoo
2)
the shoe size of the zookeepers at the city zoo
3)
the heights of the giraffes at the city zoo
4)
the weights of the monkeys at the city zoo
2. Which situation is an example of bivariate data?
1)the number of pizzas Tanya eats during her years in high school
2)the number of times Ezra puts air in his bicycle tires during the
summer
3)the number of home runs Elias hits per game and the number of
hours he practices baseball
4)the number of hours Nellie studies for her mathematics tests
during the first half of the school year
3. A school newspaper will survey students about the quality of the
school’s lunch program. Which method will create the least biased
results?
1)Twenty-five vegetarians are randomly surveyed.
2)Twenty-five students are randomly chosen from each grade level.
3)Students who dislike the school’s lunch program are chosen to
complete the survey.
4)A booth is set up in the cafeteria for the students to voluntarily
complete the survey.
4. Which statement is true about the data set 4, 5, 6, 6, 7, 9, 12?
1)
mean = mode
2)
mode = median
3)
mean < median
4)
mode > mean
5. Using the line provided, construct a box-and-whisker plot
for the 12 scores below.
26, 32, 19, 65, 57, 16, 28, 42, 40, 21, 38, 10
Determine the number of scores that lie above the 75th
percentile.
6. The test scores for 18 students in Ms. Mosher’s class are listed below:
86, 81, 79, 71, 58, 87, 52, 71, 87, 87, 93, 64, 94, 81, 76, 98, 94, 68
Complete the frequency table below.
Draw and label a frequency histogram
7. The box-and-whisker plot below represents a set of grades in a
college statistics class.
Which interval contains exactly 50% of the grades?
1) 63 – 88
2) 63 – 95
3) 75 – 81
4) 75 - 88
8. Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar.
After taking 6 quarters out of the jar, what will be the probability of
Gabriella randomly selecting a quarter from the coins left in the jar?
1)
2)
3)
4)
9. In a game, a player must spin each spinner shown in the
diagram below once.
Draw a tree diagram or list a sample space showing all possible
outcomes. Determine the number of outcomes that consist of a
prime number and a letter in the word “CAT.
10. Casey purchased a pack of assorted flower seeds and planted
them in her garden. When the first 25 flowers bloomed, 11 were
white, 5 were red, 3 were blue, and the rest were yellow. Find the
empirical probability that a flower that blooms will be yellow.
11. A cube with faces numbered 1 through 6 is rolled 75 times,
and the results are given in the table below.
Based on these results, which statement is true?
1) P(odd) < P(even)
2) P(3 or less) < P(odd)
3) P(even) < P( 2 or 4)
4) P(2 or 4) < P( 3 or less)
12. A jar contains five red marbles and three green marbles. A
marble is drawn at random and not replaced. A second marble is then
drawn from the jar. Find the probability that the first marble is red
and the second marble is green. Find the probability that both
marbles are red. Find the probability that both marbles are the same
color