MAT 181 Statistics Study Questions

MAT 181 Statistics Study Questions

MAT 181 Chapter 4 Practice Problems

Name______________________________________ Date:________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Find the indicated probability.

1) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 4?

1) _____________

2) A class consists of 66 women and 98 men. If a student is randomly selected, what is the probability that the student is a woman? 2) _____________

Answer the question, considering an event to be “unusual” if its probability is less than or equal to 0.05.

3) If you drew one card from a standard deck, would it be “unusual” to draw an eight of clubs? 3) _____________

From the information provided, create the sample space of possible outcomes.

4) Flip a coin three times. 4) _____________

Answer the question.

5) Find the odds against correctly guessing the answer to a multiple choice question with 6 possible answers.

5) _____________

6) In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle? 6) _____________

Find the indicated probability.

7) A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3? 7) _____________

8) A study conducted at a certain college shows that 51% of the school’s graduates find a job in their chosen field within a year after graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary. 8) _____________

9) A IRS auditor randomly selects 3 tax returns from 45 returns of which 15 contain errors. What is the probability that she selects none of those containing errors? Round to four decimal places. 9) _____________

10) The table below describes the smoking habits of a group of asthma sufferers.

image1.jpg

If one of the 1127 people is randomly selected, find the probability that the person is a man or a heavy smoker.

10) _____________

11) A bag contains 6 red marbles, 3 blue marbles, and 1 green marble. Find P (not blue). 11) _____________

12) A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made. 12) _____________

Find the indicated probability. Round to the nearest thousandth.

13) An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. 13) _____________

Find the indicated probability.

14) A IRS auditor randomly selects 3 tax returns from 49 returns of which 7 contain errors. What is the probability that she selects none of those containing errors? Round to four decimal places. 14) _____________

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

15) The following table contains data from a study of two airlines which fly to Small Town, USA.

image2.jpg

If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight given that it was late. 15) _____________

Find the indicated probability. Round to the nearest thousandth.

16) A sample of 4 different calculators is randomly selected from a group containing 18 that are defective and 40 that have no defects. What is the probability that at least one of the calculators is defective? 16) _____________

Solve the problem.

17) How many ways can an IRS auditor select 5 of 10 tax returns for an audit? 17) _____________

Solve the problem.

18) A state lottery involves the random selection of six different numbers between 1 and 31. If you select one six number combination, what is the probability that it will be the winning combination? 18) _____________

Solve the problem.

19) There are 6 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? 19) _____________

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