What are the sample points of F'UD? a. {4,5,6,7} b. {1,3,4,6,7} c. {1,3} d. {4,6,7}

A car manufacturer offers a prospective buyer a choice of 3 designs, 5 different colors 3 payment schemes, and either manual or automatic. How many different choices are available to the buyer? a. 13 choices b. 90 choices C. 48 choices d. 45 choices

3. Find the probability of getting a prime number thrice by-tossing a die 5 times. a. 0.3292 b 0.3125 c. 0.1975 d. 0.1875

4. How many ways can a group of 3 or more giris be formed from a group of 8 girls? a. 336 b. 219 c. 240 d. 56

How many students received at least 70 on this exam? a. 54 b. 45 c. 25 d. 30

6. A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black? a. 6/25 b. 18/29 c. 148/145 d. 36/145

7. The captain of a baseball team ssigns himselfto the 4th place in the batting order. In how many ways can he assign the remaining places to his eight teammates if just three men are eligible for the first position? a. 2160 b. 15120 c. 40320 d. 5040

8. Two people are chosen andomly fom 4 married couples. What is the probabiity that they are husband and wife? a. 1/4 b. 1/7 c. 1/2 d. 3/28

9. A bag contains 7green and 5 black balls.Three balls are drawn one after the other. The probability of all three a. 35/288 d. 215/132 c. 7/12 d. 7/44

10. On the average, an intersection in Rizal results in 3 traffic accidents per month. What is the probability that for any given month at this intersection, less than 3 accidents will occur? a. 0.4232 b. 0.5768 c. 0.3674 d. 0.6326

11. Given the table, find the 90th percentile. a. 234.69 b. 243.96 c. 205.35 d. None of the above

Find the median for this sample: 5.40, 1.10, 0.42, 0.73, 0.48, 1.10 a. 0.575 b. 1.100 c. 0.915 d. None of the above

13. A pair of dice is thrown Find the probability of obtaining a sum of 8 or getting an even num ber on both the dice. a. 5/432 b. 7/36 c. 11/36 d 2/9

14. Two dice are rolled. find the probability that the sum is equal to 5. a. 5/36 b. 1/9 c. 1/6 d. 4/9

15. One letter is taken from each of the words PARALLEL and LEVEL at random. What is the probability of getting the same letter? a. 1/20 b. 4/15 c. 3/20 d. 1/5

16. Suppose mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000 on average is substandard. What is the probability that a box contains m ore than 2 defectives? a.0.0902 b. 0.0140 c. 0.0018 d. 0.0758

17. What is the num ber of permutations can be made from the word BANANA? a. 36 b 60 c. 6 d. 720

18. Three cards are drawn in succession with replacement, from an ordinary deck of playing cards. Find the probability that the event A1UA2UA3 ocurs, where A1 is the event that thefirst card is a red two, A2 the event that the second card is a jack or a queen, and A3 is the event that the third card is greater than 6 but less than 9. a. 16/16575 b. 12/50 c. 2/2197 d. 8/5525

19. In a police report submitted bythe Cordillera Police Station poverty is the main reason mentioned by those caught for 60% of all reported crimes. Determine the probability that among the next five crimes committed in the Cordillera Region, exactly 2 resulted from poverty as the main reason for committing crimes. a. 0.0879 b. 0.3456 C. 0.5625 d. 0.2304

20. According to the survey conducted by the AMG. One-half of all IE schools in the NCR give their protessors four weeks of vacation after they have been with the department for 15 years. Find the probablity that among schools surveyed at random, the number that gives employees 4 weeks of vacation after 15 years of employm ent is fewer than 3. a. 0.6406 b. 0.6563 c. 0.3438 d. 0.3281

21.The Bureau of Aquatic Resources often tag and release subjects in order to estimate size and degree of certain features in the population. 10 species of a certain population thought to be extinct are caught, tagged, and released in a certain area. After a period of time, a random sample of 15 of the type of species is seiected in the area. What is the probability that 5 of those selected are tagged species if there are 25 species of this type in the area? a. 0.0565 b. 0.0758 c. 0.1859 d. 0.2315

22. A nationwide survey of 1.000 call center agents revealed that almost 60% disapprove the use ofa certain type of headset. If 18 of these agents are selected at random and asked their opinions, what is the probability that more than 10 but less than 14 approve the use of this type of headset? a. 0.0564 b. 0.6077 c. 0.1334 d. 0.4693

23. If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly 2 of them will be face cards? a. 0.3012 b. 0.3169 c.0.3246 d. 0.3305

24. Jay is a high school basketball player. He is a 55% free throw shooter. That means his probability of making a free throw is 0.55. During the season, what is the probability that Jay makes his fourth free throw on his seventh shot? a. 0.2918 b. 0.1668 c. 0.2462 d. 0.1852

25. The average speed of a car is 65 kph with a standard deviation of 4. Find the probability that the speed is less than 60 kph. a. 01057 b. 0.8943 c. 0.2147 d. 0.7853

26. If mean of a given data for a random walue is 81.1and standard deviation is 4.7, then find the probability of getting a value m ore than 83. a. 0.3011 b. 0.3446 c. 0.6989 d. 0.6554

27. Merrill Lynch Securities and Health Care Retirement, Inc., are two large employers in downtown Toledo, Ohio. They are considering jointly offering child care for their employees. As a part of the feasibility study, they wish to estimate the mean weekly child-care cost of their employees. A sample of l0 employees who use child care reveal the following amounts spent last week. a. u=(95.39;101.81) b. u=(85.39;39.81) c. u=(91.5;107.67) d. u=(93.5;105.71)

28. A random survey of 75 death row inmates revealed that the mean lenght of time on death row is17.4 years with a standard deviation of 6.3 years. Conduct a hypothesis test to deternine if the population mean time on death row could likely be 15 years. What is the test statistic value? a. 0.38 b. -0.38 c. 3.30 d. -3.30

39. A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours. Estimate the mean credit hours taken by a student each quarter using a 90% confidence interval. a. 15.13,15.47 b. 15.17, 15.43 c. 15.10, 15.50 d. 15.06, 15.54

30. Find the 90% confidence interval estimate of u if the sample mean = 72, the sample is n=64, and o=12. a. 71.2105, 72.789S b. 70.2056, 73.7944 c. 69.5327, 74.4673 d. 68.7103, 75.2897