CEE 105 PLATE
COMPILATION
University of Mindanao
Matina, Davao City
In partial fulfillment
of the requirements in
CEE-105
Engr. Egi Joe Fran Morales
Engineering Data Analysis Professor
August,2019
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CEE 105 Plate Compilation: Data Analysis and Probability Exercises, Exercises of Data Analysis & Statistical Methods
he process of evaluating data using analytical and logical reasoning to examine each component of the data provided.
Typology: Exercises
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CEE 105 PLATE
COMPILATION
University of Mindanao
Matina, Davao City
In partial fulfillment
of the requirements in
CEE- 105
Engr. Egi Joe Fran Morales
Engineering Data Analysis Professor
August,
For item number 1, 2 and 3, refer to the data below. The lengths of power failures, in minutes: 22 18 135 15 90 78 69 98 102 83 55 28 121 120 13 22 124 112 70 66 74 89 103 24 21 112 21 40 98 87 132 115 21 28 43 37 50 96 118 158 74 78 83 93 95.
- What is the sample mean on the given data? a. 1. 7743 b. 1.0771 c. 1.0835 d. none of the above
- Find the sample median of the power failure times. a. 1. 7700 b. 2 c. 2.0011 d. 3
- Find the sample standard deviation of the power failure. a. 0.554 b. 0.3905. c. 0.4123 .d.1.
- In UM College of Engineering Education football training session, the defensive coordinator needs to have 10 players standing in a row. Among these 10 players, there are 1 freshman, 2 sophomores, 4 juniors, and 3 seniors. How many different ways can they be arranged in a row if only their class level will be distinguished? a. 12,000 b. 12,601 c.12,600 d. 12,
- DOST UM scholars will be joining a General Assembly conducted by DOST XI. It was planned that part of their accommodation is staying in hotel for 1 night. Suppose that from UM Main, 7 students participated, in how many ways that these participants will be assigned to 1 triple and 2 double hotel rooms during a conference? a.200 b. 250 c. 210 d. 6.. Jared is an asthmatic child. Suppose that the drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extras strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma? a. 30 b. 31 c. 32 d.
- In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once under each distinct set of conditions, how many test runs are needed? a. 210 b. 211 c. 214 d.
- Your group were task to plant 5 different trees species and you are assigned to plant it around a stabilize sink hole. In how many ways can 5 different trees be planted in a sinkhole assuming that it created a perfect circle? a. 23 b. 24 c.25 d.
a. 8/27 b. 4/27 c.2/27 d. 1/
- A continuous random variable X that can assume values between x = 2 and x = 5 has a density function given by f ( x ) = 2(1 + x ) / 27. Find P(3 ≤ X < 4). a. 1/3 b.2/3 c. 1 d.
- Susan family has agricultural business mainly consisting of piggery. The total number of hours, measured in units of 100 hours, that a family runs a turbo hose for cleaning the pig pens over a period of one year is a continuous random variable X that has the density function Find the probability that over a period of one year, a family runs their equipment for less than 120 hours. a. 1 b.1.75 c.9/10 d. None of the above
- Peligro’s niece and nephew took a farm tour on their grandfather’s place and decide to get some fruit on the farm. From a sack of fruit containing 3 mangosteens, 2 mandarins, and 3 average size guavas, a random sample of 4 pieces of fruit is selected. Find P[(X, Y ) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2 }. a. ½ b.3/4 c.1 d.1/
- Students in chemical engineering class, took an experiment regarding on the bacterial response where they conducted some various intervention. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density , find (a) P (0 ≤ X ≤ 1/2 and 1/4 ≤ Y ≤ 1/ 2. a.1/10 b. 3/64 c.89/100 d.1/ For problems 21-23, refer to the table below. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as
- Find E(X) a. 2.45 b.3.4 c.1.5 d.
- Find E(Y) a.2.2 b.2.1 c.2.3 d.2.
- Find E(X,Y). a. 8.1 b.7.49 c. 7.85 d.
- How many three-number combinations can be made from the following three numbers? 551. A. 3 B. 6 C. 4 D. 5
- What is the mode of the following set of numbers? 90, 110, 20, 90, 110, 172, 90, 54, 54. A. 92 B. 20 C. 90 D. 172
- Christopher draws two marbles from the bag. He does not replace the first marble before drawing the second marble. What is the probability that he will draw a blue marble on the first draw and a blue marble on the second draw. A. ¼ B. 5/ C. 1/ D. 1/
- The following same-sized chips are placed in a bucket: 3 red, 5 yellow, 5 blue, and 5 green. If one chip is randomly selected from the bucket, what is the probability that the chip is either yellow or green? A. 5/
- Two classes were given a math test. The first class had 25 students and the average test score was 86%. The second class had 15 students and their average score was 94%. If the teacher combined the test scores of both classes, what is the average of both classes together? A. 88% B. 89% C. 90% D. 91%
- On Thursday, 240 adults and children attended a show. The ratio of adults to children was 5 to 1. How many children attended the show? A. 40 B. 48 C. 192 D. 200
- The average, median, and mode are calculated for the list 3, 3, 7, 10,
- If the number 1 is added to the list, which of the following will change? Find the original and new average, median, and mode. I. The average II. The median III. The mode A. None B. I only C. I and II D. I and III
- How many different sums can be made by adding any two different numbers from the list above? A. 8 B. 6 C. 10 D. 12
- Mary has three necklaces, four bracelets, and three rings. If she wears one necklace, one bracelet, and one ring, how many different combinations can Mary make? A. 4
B. 10
C. 24
D. 36
- Five lockers are to be assigned to five students. How many different arrangements of lockers are possible? A. 5 B. 25 C. 50 D. 120
- Mrs. Allen wants to find out the favorite television show of the eighth grade students at the school. She rolls a die twice getting a 2 and a 5. Then, she decides to take an alphabetical list of all her eighth grade students, and starting with the second person on that list, polls every fifth student. Which of the following best describes the type of sample this would create? A. representative sample B. biased sample C. random sample D. convenience sample
- Which type of graph is best suited for displaying the range and frequency distribution of total points scored each game during a high school's basketball season while still showing each game's score? A. circle graph B. box-and-whisker plot C. histogram D. stem-and-leaf plot
- Given the set {A, B, C, D}, how many permutations and combinations are there of this set of 4 objects taken 2 at a time? A. 20 permutations and 10 combinations B. 12 permutations and 6 combinations C. 20 permutations and 5 combinations D. 10 permutations and 20 combinations
- What is the mode of the following set of numbers? 114, 98, 5, 114, 98, 154, 114, 66, 66 A. 5 B. 114 C. 98 D. 95.
- The universe of event numbers under study. a) Population b) Sample c) Variable d) Frequency
- A portion of the population used for statistical analysis. a.) Population b.) Sample c.) Variable d.) Frequency
- The number or percent occurrence of a particular outcome out of N trials. a.) Population b.) Sample c.) Variable d.) Frequency
- It is computed by summing all data values and dividing by the number of data values summed. a.) Median b.) Mean c.) Mode
- A center value that divides the data array into two halves a.) Median b.) Mean
c.) Mode
- The value in the data set that occurs most frequently. a.) Median b.) Mean c.) Mode
- Find x and y so that the ordered data set has a mean of 42 and a median of 35. 17 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y a.) x= 35;y= b.) x=36;y= c.)x=37;y= d.)x=36;y=
- Twenty four people had a blood test and the results are shown below. A , B , B , AB , AB , B , O , O , AB , O , B , A AB , A , O , O , AB , B , O , A , AB , O , B , A If a person is selected randomly from the group of twenty four people, what is the probability that his/her blood type is not O? a.) 0. b.) 0. c.) 0. 70 d.) 0.
- In one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and
59. (For two items refer to the problem below)
- Two defective units have accidentally been mixed in among three flawless units. In order to find the defective units, the units are tested one at a time, in order, until either the two defective units have been found, or the three flawless units have been found. Compute the expected value E(X) and the standard deviation SD(X). a.) E(X) = 2.5, SD(x)√ 47 b.) E(X) = 3.5, SD(x) √𝟒𝟓 c.) E(X) = 3.0, SD(x)√ 43 d.) E(X) = 3.9, SD(x)√ 65
- We take at random three cards (without replacement) from an ordinary deck of cards. Compute the probability: i. all three are hearts ii. none of the cards is hearts iii. all three are aces. a.) i.0. ii.0. iii. 0. b.) i. 0. ii. 0. iii. 0. c.) i.0. ii.0. iii. 0. d.) i. 0. ii. 0. iii. 0. 12354
- For the two items, refer to the problem below.
- Given the data set 62 , 65 , 68 , 70 , 72 , 74 , 76 , 78 , 80 , 82 , 96 , 101, find i. the median, ii. the first quartile iii. the third quartile a.) i. 64 ii. iii.
b.) i. 55 ii. iii. c.) i. 75 ii. iii. d.) i. 75 ii. iii.
- Fifteen persons toss coins; two coins each. Compute the probability that at most six individuals get the same result on the two coins. a.)0. b.)0. c.)0. d.)0.
- A library has on average 78 visitors on an ordinary Friday. Compute the probability that the library has more than 90 visitors on an ordinary Friday. a.)0. b.)0. c.)0. d.) 0.
- A certain Friday evening 1% of the car drivers are intoxicated. a) At a road check 50 drivers are tested. Compute the probability that at least one intoxicated driver is caught. a.)0. b.)0. c.)0. d.) 0.
- Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
- Two dice are tossed. The probability that the total score is a prime number is: a. 1/6 b.5/12 c.1/2 d.7/
- A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is: a. 1/13 b.2/13 c.1/26 d.1/
- A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is: a. 1/22 b. 3/22 c.2/91 d.2/
- Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is: a. 3/20 b.29/34 c.47/100 d.13/
- One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)? a. 1/13 b.3/13 c.1/4 d.9/
- A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? a. ¾ b.4/7 c.1/8 d.3/ 82.. A numerical value used as a summary measure for a sample, such as sample mean, is known as a a. population parameter b. sample parameter c. sample statistic d. population mean e. None of the above answers is correct.
83.. Since the population size is always larger than the sample size, then the sample statistic a. can never be larger than the population parameter b. can never be equal to the population parameter c. can never be zero d. can never be smaller than the population parameter e. None of the above answers is correct.
- What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys? a. 1/ b. 4/ c. 2/ d. 5/
- What is probability of drawing two clubs from a well shuffled pack of 52 cards? a. 13/ b. 1/ c. 1/ d. 13/
- In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color? a. 4/ b. 1 c. 2/ d. 19/
- In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black? a. 5/ b. 5/
- Roll a die 4 times. What is the probability that you get different numbers? a. 0.2765 c. 0. b. 0.2778 d. 0.
- A bag has 6 pieces of paper, each with one of the letters, E, E, P, P, P, and R, on it. Pull 6 pieces at random out of the bag without replacement. What is the probability that these pieces, in order, spell P E P P E R? a.1/65 c. 1/ b.1/50 d. 1/
- Sit 3 men and 3 women at random in a row of chairs and around a table. Compute all women sit together. a. 1/5 c. 1/ b. 2/4 d. 1/
- Sit 3 men and 3 women at random in a row of chairs and around a table. Compute men and women alternate. a. 1/5 c. 1/ b. 2/4 d. 1/
- A group consists of 3 Norwegians, 4 Swedes, and 5 Finns, and they sit at random around a table. What is the probability that all groups end up sitting together? a. 3!·4!·5!/60! c. 3!·4!·5! ·2!/60! b. 3!·4!·5!·2!/11! d. 3!·4!·5!·2!/11!
- A fair coin is tossed 10 times. What is the probability that we get exactly 5 Heads? a. 0.2532 c. 0. b. 0.2321 d. 0.
- We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red? a. 0.3485 c. 0. b. 0.3254 d. 0.
- A middle row on a plane seats 7 people. Three of them order chicken and the remaining four pastas. The flight attendant returns with the meals, but has forgotten who ordered what and discovers that they are all asleep, so she puts the meals in front of them at random. What is the probability that no one receives correct meals?
a. 4/35 c. 18/ b. 12/35 d. 1/
- A middle row on a plane seats 7 people. Three of them order chicken and the remaining four pastas. The flight attendant returns with the meals, but has forgotten who ordered what and discovers that they are all asleep, so she puts the meals in front of them at random. What is the probability that a single person receives correct meal? a. 4/35 c. 18/ b. 12/35 d. 1/
- A middle row on a plane seats 7 people. Three of them order chicken and the remaining four pastas. The flight attendant returns with the meals, but has forgotten who ordered what and discovers that they are all asleep, so she puts the meals in front of them at random. What is the probability that two persons receive correct meal? a. 4/35 c. 18/3 5 b. 12/35 d. 1/
- A middle row on a plane seats 7 people. Three of them order chicken and the remaining four pastas. The flight attendant returns with the meals, but has forgotten who ordered what and discovers that they are all asleep, so she puts the meals in front of them at random. What is the probability that they all receive correct meal? a. 4/35 c. 18/ b. 12/35 d. 1/
- A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, where a letter is any one of 26 letters and a number is one among 0, 1,... , 9. Assume that all licence plates are equally likely. What is the probability that all symbols are different? a. 10·9·8·7·25·24/10^3·26^4 c. 10·9·8·7·26·25·24/10^4·26^ b. 10·9·8·7·26·25/10^4·26^3 d. 10·9·8·26·25/10^4·26^
- A group of 18 Scandinavians consists of 5 Norwegians, 6 Swedes, and 7 Finns. They are seated at random around a table. Compute all the Norwegians sit together. a. 13!·5!/18! c. 2!·7!·6!·5!/18! b. 8!·5!·6!/18! d. 8!·7!·6!·5!/18!