Help me to answer the following questions below, Tutorsss...
1. Four coins are tossed. If y represents the 7. What are the possible values of random variable number of tails, what is P(y s 1)? X = NUMBER OF HEADS IN TOSSING A COIN THRICE? a. X = [0, 1.2] b. X = (0, 1, 2, 3] c. X = [0, 1, 2.3, 4) 2. Which of the following is an example of a d. X = (0, 1, 2,3, 4,5) discrete random variable? a. height of student in a class 8. Determine the exact probability distribution of a b. student's grade level random variable R representing the number of c. time it takes to get to school red balls when 3 balls are drawn in succession d. distance traveled between class without replacement from a jar containing 4 red and 5 blue balls. 3. Which of the following is not a random variable? r 0 1 2 3 a. the number of teachers in each school in the Philippines P(r) 1/8 1/8 3/8 3/8 b. the number of babies born on 2015 in b 0 1 2 3 the Philippines c. the male students in a Senior High P(r) 1/8 3/8 3/8 1/8 School Department C. d. the amount of water drank by each 0 1 2 3 student everyday P(r) 1/8 3/8 1/8 3/8 d 4. For each of the following distribution, determine r 0 1 2 3 the correct probability distribution of random P(r) 3/8 1/8 3/8 1/8 variable X. 9. The probability that a student will borrow 2, 3, a. P(1) = . P(2) = 10. P(3) - 5. P(4) - 7 4. 5, or 6 books in the library are 0.32, 0.12, b.P(1) = 0.25, P(2) = 0.75, 0.23, 0.18, and 0.15 respectively. What is the P(3) = 0.25, P(4) = -0.25 probability that at least 3 but not more than 5 C. P(1) = 0.P(2) = 0.45, books will be borrowed? P(3) = 0.25, P(4) = 0.35 a. 44 % C. 33% b. 53% d. 68% d. P(1) = =. P(2) = =. P(3) = 10. The formula in finding the mean of a probability 5. Suppose three coins are tossed. Determine the distribution is: sample space. Let H represents head and T a. u = EX . P(X) C. H = EX - N represents tail. b. 1 = 2X d. H = Ex a. S= {TTT, TTH, THH, HHH] "P(X) b. S =[TTT, TTH, THT, HTT, HHT, HTH, THH,HHH] c. S = [TTT, TTH, THT, THA, HHH] 11. From past experience, a company has found d. S = (TTT, TTH, HTH, THA, HHH} that in a carton of chargers, 92% contains no defective chargers, 3% contains one defective 6. What is the mean and standard deviation of the charger, 3% contains two defective chargers, standard normal distribution? and 2% contains three defective chargers. a. mean = 0; SD: 0 What is the mean of the probability b. mean = 1; SD: 1 distribution? c. mean = 0; SD: 1 a. 0.125 c. 0.150 d. mean = 1; SD: 0 b. 0.875 d. 0.037For nur below. The probab 12. What is the variance in problem number 12? on 3. a, 0.21 C. 0.11 a. 37.5% C. 3.13% b. 6.25 % d. 25 % b. 0.31 d. 0.41 13. Which of the following is not a property of a 20. Find the area above z = -1 under normal curve. normal probability distribution? a. 0.8212 C. 0.8413 b. 0.8308 d, 0,8512 a. the area under the curve is one b, the mean, median, and mode coincide at the center 21. Which of the following statements that best c. the curve is asymmetrical about its describe the standard normal curve? center a. A standard normal curve is a normal d. the width of the curve is determined by phenomenon of distribution that the standard deviation of the distribution has mean=1 and o=0. b. A standard normal curve is a normal 14. A researcher wants to estimate the average probability of distribution that has height of women aged 30 years or older. From mean=0 and o=1. a simple random sample of 45 women, the C. A standard normal curve is a normal researcher obtains a sample mean height of probability of distribution that has 63.6 inches. Which descriptive measure is mean b. statistics d. sample mean 0 and o >1 15. Which of the following is NOT correct? 22, Identify the shaded region that corresponds to a. Ef (x) = 1 C. P(x1) + P(X2)... P(x.) = 1 the standard values on the figure below. b. P(x) = f(x) d. 0
