Worksheet no. 4 1. If there are 8 red, 4 blue and 6 white balls in a box. Find the probability of getting a) a blue ball, and b) a white ball from the set of balls in the box? 2. There are 18 freshman and 23 sophomores in a seminar conducted by a student leader. If one students is chosen at random to answer a question, find the probability that the one chosen is a freshman. 3. There are students of four colleges at a rally, 67 CBAPA students, 13 CTE students, 17 COE students and 12 CA students. Find the probability of picking one to interview and getting either COE student or a CA student. 4. In a Valentines Day Party, there are 32 gentlemen, 16 are without dates and 28 ladies, 12 of them are without dates. Fins the probability of picking someone at random and getting a person who is a lady or without date. 5. Forty four percent of the faculty members are female. If you sign up five classes, find the probability that you get all female faculty members. 6. In Jollibee, Santiago City, if 38% of the people dine-in once a week, 42% eat take-out food, and 29% do both, find the probability of selecting someone who dines-in or takes-out food once a week. 7. In a class of 30 students, 5 got a grade of 1.25. If 3 students are selected at random, to do a special project, find the probability that all three students got a grade of 1.25. 8. The probability of a freshman college students passing College Algebra and Trigonometry is 0.31. The probability of passing College Algebra is 0.58. Fins the probability of passing Trigonometry given that the student passed College Algebra. 9. ABS-CBN chooses 3 shows to put on Monday Night. If they choose the order of the shows at random, what is the probability that you have the best order viewer satisfaction? 10. There are 26 inmates in Makati City jail, 5 are in for violent crimes. If 3 are picked at random for a work detail, find the probability that at least an inmate was in for violent crime. 11. In a recent survey, 27% gave a negative rating to two candidates. If 4 people were picked at random, find the probability that at least one liked on of the candidates. 12. A teacher has a choice of 16 difficult problems or 5 very difficult problems. If there is a short quiz with 4 questions, and the problems are chosen at random, what is the probability of having 2 difficult problems and 2 very difficult? Worksheet no. 3 DESCRIBING DATA For the data given below (nos. 1-4), find the mean, median, mode, range, mid range, standard deviation, variance and the coefficient of variation. 1. Cost of notebooks for these sample prizes: 7.95 9.98 5.58 2. Age of college students in ISU: Ages 16 17 18 4.99 Number of students 2 10 10.75 6.25 7.63 8.50 8.88 19 8 5 3. Number of cups of coffee drunk per day of the sample smokers: 6 3 2 4 7 8 6935 4. Scores in a Trigonometry examination: Class f limits 35-45 2 46-56 3 57-67 4 68-78 8 79-89 5 90-100 2 5. Using Chebyshev's Theorem, solve the following: a. What percent of the values will fall between 1999.8 and 2001.2 if u = 1850 and = 72? b. For = 2376 and = 172, 90% of the data will fall between what two numbers? 6. Using the Empirical rule, in a normally distributed group of numbers, 99.7% of the data will fall between what two values if u = 18 and = 5? 7. Using the z-score, which score has the higher relative position: a score of 560 on a test with x = 480 and s = 45 or a score of 20 on a test with x = 16 and s = 3. 8. Find P40 and the percentile for 7 in problem no. 3. 9. Find P20 and the percentile for the score of 85 in problem no. 4. 10. Make a stem-and-leaf plot and give your interpretation of the following numbers: 48 63 42 49 51 65 56 53 41 47 73 79 58 62 78 11. Make a box and whisker plot and give your interpretation for the data in problem no. 3.