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

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? probability 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 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) 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