Please answer and explain the following questions:

a) they will do both? Let D = event that Anna's friend will take her to dinner M 2 event that Anna and her friend will watch movies P [D a M] =P [D] +P [M] P [D u M] =0.70+0.500.90=0.30 b) they will do neither? P[D JM]"=l{P[D]+P[M]P[D u M]}=1(0.70+0.500.30)=0.10 A study on NAIA yielded the following probabilities for the number of airplanes waiting to land at a peak hour: Number of planes 1 2 3 4 5 6 7 waiting to land Probability 0.05 | 0.08 | 0.12 0.15 0.20 | 0.30 0.10 Find the probability that: > at least two planes are waiting to land. P[at least two planes are waiting to land] = l P[one plane waiting to land] = l 0.05 = 0.95 > no more than 3 planes are waiting to land. P[no more than 3 planes are waiting to land] = 0.05 + 0.08 + 0.12 = 0.25 > at most 5 planes are waiting to land. P [at most 5 planes are waiting to land] = l P [at least 6 planes are waiting to land] = 1 (0.30 + 0.10) = 0.60 Which of the following situations illustrate(s) descriptive statistics? a. Presenting the population of Los Baos by constructing bar graphs indicating its total number of constituents by barangay during the last census b. Concluding that the Agricultural Engineering board exam is easy after asking the opinion of 10 randomly selected reviewers and noting that 9 of them felt that the exam is easy A. I only B. II only C. Both I and II D. Neither I nor H A statistician wants to determine the number of jobs of computer technicians in Los Baos for the month of June. The universe of the study is > Los Baos b) all computer technicians in Los Banos c) the number of jobs of computer technicians in Los Banos for the month of June d ) the average number of jobs of computer technicians in Los Banos for the month of June The variable of interest in the study is > Los Banos all computer technicians in Los Banos C the number of jobs of computer technicians in Los Banos for the month of June d) the average number of jobs of computer technicians in Los Banos for the month of June Mr. Albert and his family are planning to move to a certain suburb where most of the houses are being leased. Before moving to a new house, he obtained a list of all the houses for lease in the suburb together with some additional information. The list consists of the following: C = color of the house M = monthly rent (in pesos) P = presence of furniture in the house (Yes/No) T = type of house (duplex, apartment etc.) S = presence of a swimming pool in the house (Yes/No) Variable T is measured in the level of measurement. A. nominal B. ordinal C. interval D. ratio Variable is a quantitative variable. A. C B. P C. S D. M Lian had an assignment to accomplish. She had to submit to her professor a list of ten liquids (e.g. vinegar, bleach, water, etc.) and their corresponding pH content. To do this, she borrowed a pH meter from the laboratory, bought the liquids and measured their pH contents using the pH meter. Li-an used the_method of data collection. A. graphical B. subjective C. objective D. use of existing records For Consider the stem and leaf plot of the age of mother as of last birthday (in years) of 25 Statistics 1 students. 78 889 014455577779 122459 24II. II. The mean age of mother as of last birthday (in years) of 25 Statistics 1 students is A. 45.0 B. 45.6 C. 46.5 D. 47.2 Which of the following is (are) TRUE? The median age of mother of 25 Statistics 1 students is 47. There are 3 modes in the data set. A. I only B. II only C. Both I and II D. Neither I nor II On the average, the age of mother as of last birthday of 25 Statistics 1 students deviate from the mean by_. A. 7.38 B. 7.53 C. 54.48 D. 56.75 Which of the following is (are) TRUE? The range of the age of mother as of last birthday of 25 Statistics 1 students is 27. The distribution of the ages of mother as of last birthday of 25 Statistics 1 students is positively skewed. A. I only B. II only C. Both I and II D. Neither I nor II A Statistics Conference is made up of two simultaneous sessions. The lSt session has 6 presenters while the 2nd session has 5 presenters. In how many ways can the presentation in the conference be arranged? A. (6C6) (5C5) B. (6P6) (5P5) C. (6C6) + (5C5) D. 6P5 Justin's parents bought 4 new shirts, 2 pairs of shoes and 3 pants for him as gifts for nishing secondary education with ying colors. If he chooses to wear only two of each gift, how many choices does he have? A. (4C2)(2C2) (3C2) B. (4P2)(2P2)(3P2) C. (4)(2)(3) D. 9C6 The organizer of a whole-day seminar on health invited 4 guests (A, B, C and D) who will serve as resource persons. In how many ways can the organizer arrange these 4 persons if resource person B requests that he be the 2'1d speaker? A. l B. 2 C. 6 D. 24 Owel, CJ and Mayan are in-charge of cleaning their living room and washing the dishes every day. To distribute the chores, they decided to select two persons (without replacement) who will do the task each day by using lottery method. The rst one will clean their living room and the second will wash the dishes. Let 0 stand for Owel, C for CI and M for Mayan. The sample space, S, of the random experiment is > S = {clean living room, wash dishes}