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I. Write the letter of the correct answer on the blank. Write E before the number if there is no anSwer. Use another sheet of paper for your solution and attach it in your module. 1. Which of the following is NOT a possible value of probability? a. 0% b. 50% c. 100% d.125% _2. what do you call the set of all possible outcomes of an experiment? a. sample point D. sample set c. sample size d. sample space 3. A pair of dice is tossed. What is the probability of obtaining a sum of 7? a. 5/36 b. 1/6 c. 7/36 d. 1/4 4. What is the probability of drawing a face card or an ace from a deck of playing cards? a. 1/13 b. 3/13 c. 4/13 d. 5/13 _5. A box contains 5 red, 4 blue. and 3 white balls. If a ball is chosen at random, what is the probability that it is not red? a. 1/4 b. 1/3 c.5/12 d. 7/12 6. In problem 5, what is the probability of drawing a red ball or a white ball? a. 1/13 b. 5/12 c. 7/12 d.2/3 7. What is the probability of drawing a face card er a spade from a deck of cards? a. 3/13 b.13/52 c. 15/52 d. 11/26 _8. What is the probability of getting a tail in the rst draw and a head in the second draw if a coin is tossed twice? a. 1/4 b. 1/3 c. 1/2 d. 1 9. What is the probability of getting at most the sum of 3 in casting a pair of dice? a. 1/36 b. 1/18 c. 1/12 d. 1/9 _10. Which of the following is/are TRUE about binomial probability distribution? i. The experiment ounsists of n repeated trials ii. There are many possible outcomes. iii. The repeated trials are dependent iv. The probability of success is constant a. I only b. II and [II c. IV only d. I and IV 11. Which of the following is/are FALSE about binomial probability distribution? i. The experiment consists of n repeated trials ii. There are many possible outcomes. iii. The repeated trials are dependent iv. The probability of success is constant Gaboyo. Y. out. (2016). Statistics and Probability. Paligsahan. Quezon City. a. [I only b. I and II] c. IV only d. [I and IV 12. In three tosses of a die, nd the probability that a 5 will appear twice? a. 5/72 D. 7/72 c. 1/6 03. 5/6 13. A law professor observed that only 25% of the students who get admitted to the freshmen class usually reach fourth year. Assuming that this is correct, the probability that among 15 randomly selected rst year students, exactly 8 students will reach fourth year? a. 0.31% b. 1.31% c. 25% d. 28% 14. In problem 13, nd the probability that among 15 randomly selected rst year students, exacliy 8 students will reach fourth year? a. 1.31% b. 1.34% c. 6.68% d. 85.16% 15. The secretary of XYZ law ofoe found out that they are receiving an average of 5 calls from clients per day. Find the probability that the rm will receive exactiy 3 calls on a particular weekdays. a. 10% b. 10.14% c. 14.04% 01.15% II. Solve the following problems and show your oomplete solutions. 1. A pair of dice is tossed. Find the probability of getting: a. two odd numbers b. a sum of 5 C. a sum of 9 Cl. a sum of 7 or sum 0f3 E. a sum of at least 9 f. a sum of at most 5 g. a sum of4anda sum of6 2. Find the probability distribution for the number of heads that will occur when 5 coins are tossed. 3. Find the probability distribution for the number of tails that will occur when 4 coins are tossed. 4. Find the probability distribution of the sum of casting a pair of dice. Gabuyo. Y. amt. (ZDIG). Mists and Probability. Paligsahan, Quezon City. 5.Find the probability distribution of the number of boys in a family with 4 Children. 6. Construct a probability distribution and histogram of the probability distribution of the number of heads when a min is 1105586 5 times. 7. For problem 3 and 4, construct the histogram of their respective probability distributions. 8. If X is binomially distributed with 5 trials and the probability of success is equal to 10% in each attempt, what is the probability of: a. getting exactly 4 successes? b. getting at most 3 successes? c. getting at least 1 success? 9. Given a binomial random variable with n=10 and p=0.25, find the following probabilities: a. P(X=0) b. P(X=3) C. P(X=6) d. P(X