Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 3

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1 Math 46 Statistics for the Health Sciences Additional Exercises on Chapter 3 Student Name: Find the indicated probability. ) If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH THT TTH TTT. What is the probability of getting at least one head? A) 3 4 B) 2 C) ) If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability that the first two tosses come up the same? A) 3 8 B) 4 C) 8 2 3) If two balanced die are rolled, the possible outcomes can be represented as follows. (, ) (2, ) (3, ) (4, ) (, ) (6, ) (, 2) (2, 2) (3, 2) (4, 2) (, 2) (6, 2) (, 3) (2, 3) (3, 3) (4, 3) (, 3) (6, 3) (, 4) (2, 4) (3, 4) (4, 4) (, 4) (6, 4) (, ) (2, ) (3, ) (4, ) (, ) (6, ) (, 6) (2, 6) (3, 6) (4, 6) (, 6) (6, 6) Determine the probability that the sum of the dice is 2 or 0. A) 6 B) 9 C) ) A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 0 possible samples.) A) 3 B) 2 C) ) A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (Hint: There are 6 possible outcomes.) A) 8 B) 4 C) 6 2

2 Find the indicated probability by using the special addition rule. 6) The age distribution of students at a community college is given below. Age (years) Number of students (f) Under Over A student from the community college is selected at random. Find the probability that the student is between 26 and 3 inclusive. Round approximations to three decimal places. A) 28 B) 0.88 C) ) A relative frequency distribution is given below for the size of families in one U.S. city. Size Relative frequency A family is selected at random. Find the probability that the size of the family is less than. Round approximations to three decimal places. A) 0.09 B) C) ) A percentage distribution is given below for the size of families in one U.S. city. Size Percentage A family is selected at random. Find the probability that the size of the family is at most 3. Round approximations to three decimal places. A) 0.3 B) 0.68 C)

3 9) The distribution of B.A. degrees conferred by a local college is listed below, by major. Major Frequency English 2073 Mathematics 264 Chemistry 38 Physics 86 Liberal Arts 38 Business 676 Engineering What is the probability that a randomly selected degree is in English or Mathematics? A) 0.7 B) 0.00 C) ) Two 6-sided dice are rolled. What is the probability that the sum of the numbers on the dice is 6 or 0? A) B) 2 C) Find the indicated probability by using the general addition rule. ) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 6. A) B) C) ) In one city, 47.2% of adults are female, 0.2% of adults are left-handed, and 4.7% are left-handed females. For an adult selected at random from the city, let F = event the person is female L = event the person is left-handed. Find P(F or L). Round approximations to three decimal places. A) 0.74 B) 0.27 C) ) Let A and B be events such that P(A) = 6, P(A or B) =, and P(A and B) =. Determine P(B). A) 30 B) C) ) A spinner has regions numbered through. What is the probability that the spinner will stop on an even number or a multiple of 3? A) 3 B) 2 C)

4 ) Of the people who answered "yes" to a question, 7 were male. Of the 00 people who answered "no" to the question, 3 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? A) B) 0.47 C) Find the indicated probability by using the complementation rule. 6) The age distribution of students at a community college is given below. Age (years) Number of students (f) Under Over A student from the community college is selected at random. Find the probability that the student is 2 years or over. Give your answer as a decimal rounded to three decimal places. A) B) C) ) A relative frequency distribution is given below for the size of families in one U.S. city. Size Relative frequency A family is selected at random. Find the probability that the size of the family is at most 6. Round approximations to three decimal places. A) 0.0 B) 0.94 C)

5 8) A percentage distribution is given below for the size of families in one U.S. city. Size Percentage A family is selected at random. Find the probability that the size of the family is 4 or more. Round results to three decimal places. A) B) 0.20 C) ) Based on meteorological records, the probability that it will snow in a certain town on January st is Find the probability that in a given year it will not snow on January st in that town. A).307 B) C) ) If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. A) B) C)

6 Answer Key Testname: MATH 46 ADDITIONAL EXERCISES ON CHAPTER 3 ) D 2) D 3) B 4) A ) B 6) C 7) B 8) B 9) D 0) B ) B 2) B 3) B 4) C ) A 6) B 7) D 8) A 9) B 20) A 6