I. Directions: MULTIPLE CHOICES. Circle the letter that corresponds to the correct answer. (10 points.) 1. Is a set of possible values from a random experiment? a. Random variable c. Sample space b. Random experiment d. Trial 2. Is a particular performance of a random experiment? a. Random variable c. Sample space b. Random experiment d. Trial 3. Is a process by which we observe something uncertain? a. Random variable c. Sample space b. Random experiment d. Trial 4. The set of all possible outcomes of an experiment is called the a. Random variable c. Sample space b. Random experiment d. Trial 5. A random variable is a variable whose value is obtained by counting. a. Discrete c. Sample b. Random d. Continues 6. A random variable is a variable whose value is obtained by measuring. a. Discrete c. Sample b. Random d. Continuous 7. An is a subset of the sample space. a. Discrete c. Event b. Random d. Outcome 8. A result of a random experiment is called an a. Discrete c. Event b. Random d. Outcome 9. The probability of each value of the random variable must be between or equal to 0 and 1. In symbol: we write it as: a. OSP(X) 21. c. EP(X) =0 b. EP(X) = 1 d. OSP ( X) SI. 10. The sum of the probabilities of all values of the random variable must be equal to 1. In symbol, we write it as a. OSP(X) 21. c. EP(X ) =0 b. EP (X ) = 1 d. OSP (X) SI. II - Directions: Classify the following random variables as DISCRETE or CONTINUOUS. Write D if it is discrete and C if it is continuous on the space provided. (15 points.) The number of defective computers produced by a manufacturer. The weight of newborns each year in a hospital. AWNP The time needed to finish the test. The amount of sugar in a cup of coffee. The number of patient arrivals per hour at a medical clinic. The monthly average amount of electricity consumed per household. The number of athletes in UV-TOLEDO CITY CAMPUS. The amount of paint utilized in a building project. 9. The temperature reading of the day 10 . The number of voters favoring a candidate. 11. The number of deaths per year attributed to lung cancer. 12. The number of bushels of mangoes per hectare this year. 13. The number of people who are playing LOTTO each day. 14. The time needed to finish the test. 15. The speed of a car.b. Random d. Continues 6. A random variable is a variable whose value is obtained by measuring. a. Discrete c. Sample b. Random d. Continuous 7, An is a subset of the sample space. a. Discrete c. Event b. Random d. Outcome 8. A result of a random experiment is called an a. Discrete c. Event b. Random d. Outcome . The probability of each value of the random variable must be between or equal to 0 and 1. In symbol: we write it as: a. OSP(X) 21. c. EP (X) =0 b. EP(X ) = 1 d. OSP (X) SI. 10. The sum of the probabilities of all values of the random variable must be equal to 1. In symbol, we write it as a. OSP(X) 21. c. EP(X) =0 b. EP (X ) = 1 d. OSP(X) SI. II - Directions: Classify the following random variables as DISCRETE or CONTINUOUS. Write D if it is discrete and C if it is continuous on the space provided. (15 points.) The number of defective computers produced by a manufacturer. The weight of newborns each year in a hospital. The time needed to finish the test. The amount of sugar in a cup of coffee. NOCONAMAWNE The number of patient arrivals per hour at a medical clinic. The monthly average amount of electricity consumed per household. The number of athletes in UV-TOLEDO CITY CAMPUS. The amount of paint utilized in a building project. The temperature reading of the day 10 The number of voters favoring a candidate. 11 The number of deaths per year attributed to lung cancer. 12. The number of bushels of mangoes per hectare this year. 13. The number of people who are playing LOTTO each day. 14. The time needed to finish the test. 15. The speed of a car. III - Problems: Four coins are tossed. Let Z be the random variable representing the "Number of Tails" that occur. Write down all the possible outcomes and the values of Z. (20 points.) POSSIBLE OUTCOMES VALUE of Z