Name: ___________________________________ Date: ______________________ Period: __
CHS Statistics
Section 3 – Extra Review
1) The probability of a driver driving over the speed limit is 47%. a) What is the probability that the next three cars will all be driving over the speed limit? b) What is the probability that none of the three cars will be driving over the speed limit? c) What is the probability that at least one will be driving over the speed limit?
2) At a large factory, the employees were surveyed and classified according to their level of education and whether they attend a sports event at least once a month. The data are shown in the table:
Attend Sports
Do not attend Sports
Total
High School Two-Year College Four-year College Total
16
12
28
20
19
39
Find the probability that a randomly selected employee is:
________ a.) P(2) =
________ b.) P(S | HS) =
________ c.) P (S ∩ 4) =
________d.) P (S U 2) =
24
25
49
60
56
116
3) A soda machine servicer must restock and collect money from 15 machines. How many ways can she select 4 machines to service?
4) A company’s ID cards consist of 5 letters and 2 digits. How many different ID’s could be made?
5) You look over the songs on your friend’s iPod and determine that you like 15 of the 56 songs. a) What is the probability that you like the next three songs that are played when the songs are playing randomly? Assume a song cannot be repeated. b) What is the probability that you like 2 songs out of the next three that are played?
Assume a song cannot be repeated.
6) Explain why it is important to repeat an experiment many times to find the probability.
7) An experiment consists of randomly choosing a marble from a bag. Use the results in the table to find the experimental probability of each event.
Outcome Frequency
Red
Blue
4
6
Green
Yellow
6
9 a) Choosing a yellow marble: b) Not choosing a green marble:
8) The numbers 1-20 are written on a piece of paper and put in a box. Two pieces of paper are randomly selected and not replaced. a) Are the events independent or dependent? b) What is probability of selecting a number less than 6 both times?
9) Decide whether the following are permutations or combinations. Then answer each question. a) Aaron has 6 autographed baseballs and room for 4 in his display case. How many arrangements can he make? b) How many ways can a group of 5 people be chosen from a class of 20?
10) If the probability of it snowing in April is 37%, what is the probability of it not snowing?
11) What is the difference between experimental and theoretical probability
12) In how many ways can a student organization with 50 members choose a president, a vice president, a secretary, and a treasurer?
13) In a shipment of 25 inflatable Santas, there are 4 with defects. If a random sample of 5 Santas is selected, what is the probability that at least 1 will be defective?
14) Find the probability of spelling the word MOUNTAIN.
15) What is the sample space of flipping a coin 3 times?
16) Tom goes to a stationary shop to purchase a set of watercolors and a paintbrush. There are 3 different brands of watercolors, each available in 2 different size packs. There are 2 brands of paintbrushes, each available in 8 different sizes. How many ways can Tom choose a pack of watercolors and a paintbrush?
17) A warehouse employs 36 workers who work over night and 70 workers who work during the day. Fifteen workers are chosen at random to be laid off. Find the probability of choosing: a) All night workers b) 7 night workers and 8 day workers c) 2 night workers.
18) Decide if the following are mutually exclusive events. a) Event A: Randomly select a person who wrestles.
Event B: Randomly select a person who is 400 pounds. b) Event A: Randomly select a person between 28 and 42 years old.
Event B: Randomly select a person who makes $15,000.
19) Ten percent of us are left-handed. In a study of dexterity, people are randomly selected in groups of ten. Develop a simulation for finding the probability of getting at least two lefthanded people in a group of ten. Describe the trials of the simulation, conduct 14 trials, and estimate the probability.