Hello tutor! Our lesson is about Statistics and Probability. This is only 10 items (multiple choice) and another 2 questions. Please help me and I will leave a very good feedback, just please make sure to answer it correctly. Thanks.

the, grade, and section. Choose the letter that you think the best answer to each of the following questions. Multiple Choice 1. The sample space of rolling a die and tossing a coin simultaneously. a. S = (1H,27 3H.47,SH,67) b. S = (1H,17,214,27',3H,3T,AH.AT,SH ST,6H,67) answer 0. S = (1H,2H 3H.AT,ST,67) d. S = (IT,27,3T,AH.SH,6H.} 2. A pair of dice is rolled. Let Y be the random variable denoting the sum of the points on the upturned faces of the dice. Find the values of the random variable Y. a. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 C. 1, 3, 5, 7, 9 and 11 b. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 d. 2, 4, 6, 8, 10 and 12 3. Which of the following is a discrete random variable? a. the average amount of electricity consumed b. the number of persons eating seafood in a restaurant c. the percentage of the students who passed the exam d. the average weight of female athletes 4. The following are continuous random variable except a. weight of persons c. income/money b. height of a person d. number of heads in 3 tosses of a fair coin 5. If a pair of dice is rolled, which is not a possible value of the random variable for the sum of the points on the upturned faces of the dice? a. 1 b. 4 e. 7 d. 11 6. What makes the distribution below a probability distribution? X 0 2 6 8 PPO a. The random variable is equally distributed. b. The sum of all values of P(x) is equal to one. c. The values of a probability distribution are probabilities. d. The values of the P(x) are numbers on the interval from 0 to 1. 7. A function whose value is a real number determined by each element in the sample space - the set of all possible outcomes of an experiment. a. random variable c. density function b. probability distribution d. histogram 8. Which formula gives the probability distribution shown by the table? 3 5 X P(X) CAl a. P( X) = *$ 1 D. P(X ) = X C. MX)= *+2 d. P(x)= 1 12" 9. Four coins are tossed. Let Y be the random variable representing the number of heads that occur. The probability distribution of the random variable Y2 3 y = of heads P(x) 4/16 6/16 1/16 4/16 1/16 2 3 4 b y = of heads P(x) 1/16 4/16 6/16 4/16 1/16 y = of heads 2 3 C P(x) 6/16 4/16 1/16 4/16 1/16 y = of heads 2 3 d P(x) 1/16 4/16 1/16 4/16 6/16 10. If "(x) . X, what are the possible values of X for it to be a probability distribution? a. 1, 2, 3 b. 0, 2, 3 c. 2, 3, 4 d. 1, 1, 2 a. S = {IT,2T,37,4H,5H,6H,} 7. Which formula gives the probability distribution shown by the table? X 3 5 P(X) G 3 2 12 a. P( x) = *+! b. P(x) = * G. p(x ). *+2d. p(x)=1 18 _8. If p(x).*, what are the possible values of X for it to be a probability distribution? a. 1, 2, 3 b. 0, 2, 3 c. 2, 3, 4 d. 1, 1,2 9. What makes the distribution below a probability distribution? X 0 2 4 6 8 P(X) a. The random variable is equally distributed. b. The sum of all values of P(x) is equal to one. c. The values of a probability distribution are probabilities. d. The values of the P(x) are numbers on the interval from 0 to 1. 10. Four coins are tossed. Let Y be the random variable representing the number of heads that occur. The probability distribution of the random variable Y is y = of heads 0 2 3 P(x) 4/16 6/16 1/16 4/16 1/16 b y = of heads 0 2 3 P(x) 1/16 4/16 6/16 4/16 1/16 C. y = of heads 10 2 3 4 P(x ) 6/16 4/16 1/16 4/16 1/16y = of heads 0 1 2 d P(x) 1/16 4/16 1/16 4/16 6/16 Il. Construct the probability distribution for the random variables. Draw the corresponding histogram 1. Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls, Let Z be the random variable representing the number of blue balls. Find the values of the random variable Z 2. Four coins are tossed. Let Y be the random variable representing the number of heads that occur, Find the values of the random variable Y swer Key son 1